37 Accountants Formulae Book

March 29, 2019 | Author: Manoj Phulwani | Category: Debits And Credits, Bookkeeping, Goodwill (Accounting), Balance Sheet, Corporations
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Firs Fi rstt Ed Edit itio ion n

:

Febr Fe brua uary ry 20 2003 03

Second Sec ond Edi Editio tion n :

August Aug ust 200 2003 3

Thir Th ird d Ed Edit itiion

:

May Ma y 20 2004 04

Reprint

:

January 2006 Ja

CONTENTS 1. Finan Financial cial Accounting Accounting

5 - 13

Book Keeping - Double Entry System - Journal - Ledger & Trial Copyright Credits

: :

GENES GE NESIS IS - VBS VBSE E Pr Priv ivat ate e Li Limi mite ted d The En The Enti tire re te team am of GE GENE NESI SIS S & DH DHUR URUV UVA A

- Inte Interes restt on Loan Fro From m a Par Partnertner- Part Partner ners’ s’ Sala Salarie ries s - Rev Revalua aluation tion

Published & Distributed by GENESIS - VBSE (P) Ltd.

of Asse Assets ts & Liabi Liabilitie lities s - Tre Treatme atment nt of Good Goodwill will on Retirement Retirement Revaluation Method of Treatment of Goodwill - Paying off the

  Your Nearest Campus

Corporate Office :

Retiring Partner Partner.. 2. Corpor Corporate ate Accou Accounting nting

#13/7, Rosy Towers, 4 th Floor, N.H. Road, Nungambakkam, Chenna Che nnaii - 600034.

15 -34

Issue of Shares - Redemption of Shares - Issue of Debentores Amalgamation Amalgama tion - Internal Re-construction Re-construction - Valuation of Goodwill Valua aluation tion of Shar Shares es - Holding Company - Banking Company

Phone : (044) - 255 22 222 Fax : (044) - 28255937 E-Mail : tally@vsn [email protected] l.net Dhuruva Solutions Private Limited

Partnership Accounts - Current Accounts - Profit & Loss Appropri Appr opriation ation Account - Inter Interest est on Capit Capital al - Inter Interest est on Draw Drawings ings

Rs. 30 30//-

GENESIS - VBSE Private Private Limited Limited

Balance - Final Accounts - Bank Reconciliation Statement -

Accounts. 3. Cost Acc Accoun ounting ting   Your Nearest Campus

Regional Head Office :

Reconciliation of Cost and Financial Accounts - Contract Costing

HA Plaza 1st Floor, Opp. to

-

Telugu University, Public Garden,

Control.

Nampally,, Hyder Nampally Hyderabad abad - 500 001.

Marginal Costing and Cost Cost Volume Volume Profit Analysis - Budgetary Budgetary

4. Manageme Management nt Accounting

Phone : (040) - 234 11 444

Ratio Rati o Analysis Analysis - Work Working ing Capi Capital tal Manag Managemen ementt - Oper Operatin ating g Cycle Cycle -

E-Mail : [email protected]

Inventory Management - Cost of Capital - Leverage - Cash Flow

All rights are reserved. reserved. No part of this publication may may be reproduced in any form or by any means or stored in any retrieval system, without the prior  written permission of the publishers. Limitation of Liability and Disclaimer Clause

The author and the publisher of this book, have taken every effort to ensure that the programmes, procedures and concepts explained in the book are correc cor rect. t. How Howeve everr, the author author and the publisher publisher will not be liab liable le to any person in the event of any damage caused due to the usage of these programmes, procedures and concepts. All trademarks referred to in this book are acknowledged as the properties of their respective owners.

35 - 47

Cost Sheet - Material Costing - Labour Costing - Overheads -

49 - 58

Statement - Fund Flow Statement. 5. Statisti Statistics cs

61 - 78

Measures of Central Tendancy - Measures of Dispersion Correlation - Regression - Demand Analysis - Population and Samples - Probability - Index Numbers. 6. Operati Operations ons Research

81 - 86

Transportation - Queuing Theory - Assignment - Linear  Programming Programm ing - Network Analysis - CPM & PERT. GLOSSARY

87 - 95

1

Financial Accounting

BOOK BOO K KEE KEEPIN PING G – DOU DOUBL BLE E ENT ENTRY RY SYS SYSTEM TEM

The Types of Accounts under Double Entry System of Book Keeping are broadly classified into Personal and Impersonal Accounts. I. Persona Personall Accounts - (eg. Debtors, Creditors etc.,) D eb eb it it : Credit Cre dit :

The Receiver. The Giver.

II. Imperson Impersonal al Acc Account ounts s - Thisis furt further her divi divided ded into Real and Nom Nominal inal Accounts. a)

Real Re al Ac Acco count unts s - (eg. Land, Building, Investments.) D eb eb it it : Credit Cre dit :

b)

What comes in. What goes out.

Salary ry Acco Account, unt, Int Interes erestt Acco Account unt,, Nominall Acc Nomina Accoun ounts: ts: (eg. Sala Commission, Rent etc.,) D eb eb it it : Credit Cre dit :

All Expenses and Losses. All Incomes and Gains.

I. Journal, Ledger & Trial Balance : Journal 

- This is a Preliminary Record of day to day Business Transactions, which is to give effect to two different Accounts Accoun ts involve involved d in business transactions transactions (i.e., Debit  & Cred Credit). it). The Journal Entry shall have narration giving the description of the Transaction recorded.

Ledger 

- Ledger is a Permanent record of all Transactions in a summarised summ arised and classified classified form. The Journal entries entries are posted periodically under the Accounting head maintained in General Ledger Register.

Trial Balance

- This is a statement showing the balance of all Ledger  Accounts Accoun ts from the General General Ledger Registe Register. r. This is to test the arithmatical accuracy of Books of Accounts.

II. Final Accounts :

Profit & Loss Account and Balance Sheet are the Final Accounts derived from the Trial Balance. The Profit & Loss Account will end with either Net Profit Profit or Net Loss Loss which is the Net result of the operating operating activiti activities es of an Enterprise. The Balance Sheet is a statement prepared as on the reporting date to show the Financial status (i.e., What the Company owns and what it owes)

BANK RECONCILIATION STA STATEMENT TEMENT Meaning :

Pass book is your Banker’s Statement where entries recorded as per your Bank Records. Records. Cash Cash book is your own record of Bank transaction transactions. s. Often we find mismatch between our records and bank records. To reconcile or match these two records we prepare Bank Reconciliation Statement. This statement will start with either our balance or banker’s balance and end with banker’s balance or our balance respectively. The common reasons for mismatch would be the time lag due to cheques clearing clearin g formal formalities, ities, Bank charges automatically automatically debited, etc.,

Alternative Method : Balance as per Cash book Less: Cheques deposited but not yet presented and credited. Insurance Premium paid and bank charges entered in pass book but not recorded in cash book. Interestt debited in pass book but not yet recorded in cash book Interes Payments Paymen ts like telephone charges or to Creditors made directly by the bank but not entered in cash book. Wrong Debit made in the pass book or wrong credit made in the cash book. Add: Cheques issued but not yet presented. Interest credited by the bank but not credited in the cash book Dividend Divide nd , Interes Interest, t, etc. receiv received ed directly by the bank on behalf  of the client. Direct receipts from Customers to the bank. Wrong credit made in the pass book or wrong debit made in the cash book. Ÿ Ÿ

Ÿ Ÿ

Ÿ

Ÿ Ÿ Ÿ

Formatt of Bank Recon Forma Reconcili ciliation ation State Statement ment

Ÿ Ÿ

Balance as per Pass Book

Add :

Ÿ

Cheques deposited but not yet presented and credited.

Ÿ

Insurance Insura nce Premium paid and bank charges entered in pass book

Balance as per Pass Book

but not recorded in cash book.

PARTNERSHIP ACCOUNTS

Ÿ

Interestt debited in pass book but not yet recorded in cash book Interes

Definition :

Ÿ

Payments Paymen ts like telephone charges or to Creditors made directly Wrong Debit made in the pass book or wrong credit made in

The Indian partnership Act 1932, Section 4, defines partnership as, “the relation between persons who have agreed to share the profits of a business carried on by all or any of them acting for all”.

the cash book.

Capital :

Ÿ

Cheques issued but not yet presented.

Ÿ

Interest credited by the bank but not credited in the cash book

Partner’s contribution contribution to the business of the firm is called capital. Capital accounts of the partners may be fixed or  fluctuating.

Ÿ

Dividend, Interest, etc. received directly by the bank on behalf 

(A) When the Capitals are Fixed :

by the bank but not entered in cash book Ÿ

Less :

of the client.

Capital Accounts

Ÿ

Direct receipts from Customers to the bank.

Ÿ

Wrong credit credit made in the pass book or wrong debit made in the cash book.

Date Dat e

Partic Par ticula ulars rs X Rs.

2002 Dec 31 To Balance c/d

Balance as per Cash Book

Y Rs.

Date Da te

2002 Jan.1 xxx xxx

xx x xx x 2003 Jan. Ja n.1 1

6

GENESIS / DHURUVA DHURUVA

GENESIS / DHURUVA DHURUVA

Part Pa rticu icula lars rs

By Balance b/d

By Bala Balanc nce e b/d

X Rs.

Y Rs.

xxx xxx

xxx xxx

xxx

xxx 7

Current Accounts

Profit and Loss

Dr. Date Da te

Appropriation Account

C r. X

Y

Rs.

Rs.

xxx

xxx

on drawings xxx

xxx

By Partner’s

To Balance

xxx

Salary

Part Pa rtic icul ular ars s

2002 To Drawings Dec 31 To Interest

Da t e

2002

P ar ar t i c ul ul a r s

c/d

Y Rs.

xxx

xxx

Dr. Date

C r. Particulars Rs.

on Capital

By P & L A/c

xxx

xxx

2002

To Interest

By Ba la lan ce ce

2003 To Balance Jan.1

-

xx x

b/d

xxx

b/d

2003

By Balance

Jan.1

xxx xxx

xxx

Date Da te

xxx

-

2002

Rs.

Rs.

To Drawings xxx

xxx

Dec 31 To Interest on drawings xxx To Balance

xxx

Date Da te

Part Pa rtic icul ular ars s

2002

By Balance

Jan.1

b/d

xxx

By Interest

xxx

By P & L A/c

X

Y

Rs.

Rs.

xxx

xxx

Y

xxx

Salary

xxx xxx

2003 20 03

xxx xxx

By Ba Bala lanc nce e b/ b/d d xx xxx x xx xxx x

Jan.1

By Net Profit A/c

xxx

x xx xx

on Drawings X

xxx

Y

xxx xxx

Salary X

xxx

Y

xxx

Profit transferred to X

xxx

Y

xxx xxx xxx

GENESIS / DHURUVA DHURUVA

xxx

Interest on Capital :

Interest is allowed on partners’ capitals only if the partnership agreement specifically allows it at a particular rate. Interest for a year is usually calculated on the opening capital and on the capital introduced during the year. If the date of additional capital introduced during the year is not given, the interest is to be calculated for 6 months. If the rate of interest is not given, it is assumed to be 12% p.a. Entry for interest on capital is D eb eb it it : Credit Cre dit :

8

R s. s.

To Partner’s

xxx xxx xx

By Com Commi miss ssion ion xx xxx x xxx xxx

Rs.

By Interest xx x

xxx xxx

By Partner’s

xxx

xxx

on Ca Capital

c/d

Particulars

To Net C r.

Parti Par ticu cula lars rs

X

xxx

b/d

Dr. Y

Dec 31

xxx xxx

(B) When Capitals are fluctuating :

X

Date

2002

Dec 31 on Capital

By Com Commi miss ssion ion xxx xxx xxx

Rs.

By Interest

Dec.31 xxx

X Rs.

GENESIS / DHURUVA DHURUVA

Interest on Capital Account Respective partner’s Capital ( or current ) Account.

9

If decreasing the existing value of Goodwill, the following entry is : Deb it : Old Partner’s Capital Account Credit : Goodwill Account (Being Value of the Goodwill decreased and old partners debited in the old ratio ) Capital Brought in by the Incoming Partner : Entry for this is : Date

Particulars

L.F.

Debit : Cash Account Dedit : Stock Account Debit : Furniture Account Credit : New Partner’s Capital Account (Being capital brought in by the new partner in cash, stock and furniture)

Debit Rs.

Debit

Goodwill Account

:

Old partner’s Capital Account

Credit :

(Goodwill credited to the Old partners in the old ratio). 5. Paying off the Retiring Partner 

When a partner retires, the amount due to him from the firm after all the above adjustments (ie. adjustment for accumulated reserves, revaluation Credit Rs.

............. ............. .............

profit or loss and for goodwill) will be ascertained. This amount may be paid to him in a lump sum immediately or in installments spread over one or more years. When it is not paid immediately, it will be transferred to his loan A/c which will carry Interest at 6% per annum. (i) When the amount is paid entirely at once:

.............

Debit

:

Retiring partner’s Capital Account

Credit

:

Bank / Cash Account

(ii) When the amount is not paid at once

Revaluation of Assets and Liabilities

Revaluation of Assets and Liabilities is equally necessary at the time of  Retirement of a Partner or at Admission. When Assets and Liabilities are revalued, their values may increase or decrease. We have already seen in connection with admission that increase in value of Assets and decrease in Liabilities are Profit items of Revaluation. Conversely decrease in Assets and increase in Liabilities are loss items.

Debit

:

Retiring partner’s Capital Account

Credit

:

Retiring partner’s Loan Account

(iii) When the amount is paid partly at once Debit

:

Retiring partner’s Capital Account

Credit

:

Bank / Cash Account

Credit

:

Retiring partner’s Loan Account  ______________ 

Entries for Revaluation here are similar to those in Admission. 4. Treatment of Goodwill on Retirement

At the time of Retirement of a Partner, adjustment for Goodwill of the Firm, if any, has to be made almost in the same way as in admission. The Goodwill treatment that were seen in the context of Admission of a partner, hold good, to a large extent, in retirement too. But we confine ourselves to the Revaluation Method only. Revaluation Method of Treatment of Goodwill

This is very much asking to the Revaluation Method of treatment of  Goodwill seen in connection with Admission. The present value of Goodwill of a firm is estimated and brought into record. The entry is: 12

GENESIS / DHURUVA

GENESIS / DHURUVA

13

2

Corporate Accounting ISSUE OF SHARES

Journal Entries in the books of the New Company

1.

Debit Credit

: :

2.

Debit Cr ed it

: :

3.

Debit Credit

: :

Bank Account Share Application Account (Being Share Application Amount received)

Share Application Account Share Capital Account (Being Share Application amount  transferred to Share Capital account)

Share Application Account Share Allotment Account (Being the excess amount received on application is used for  the Share Allotment Amount)

4.

Debit Credit

: :

5.

Debit Credit

: :

6.

Debit Credit Credit

: : :

7.

Debit Debit Credit

: : :

8.

Debit Credit

: :

9.

Debit Credit

: :

10.

Debit Debit Credit

: : :

11.

Debit Credit Credit

: : :

Share Application Account Bank Account (Being Share Applications rejected)

Share Allotment Account Share Capital Account (Being Share Allotment Amount due at Par)

Share Allotment Account Share Capital Account Share Premium Account (Being Share Allotment due with premium)

Share Allotment Account Discount on issue of shares Share Capital Account (Being Share Allotment amount due with discount)

Bank Account Share Allotment Account (Being share allotment amount received )

Share First and final call Share Capital Account (Being Share First and final call due)

Bank Account Calls in Arrears Share First & Final call (Being share first & final call received )

Share Capital Account Share Forfeiture Account First & Final call account (Being Shares forfeited)

12.

Debit Debit  Credit

: : :

Debit Credit

: :

Bank Account Share Forfeiture Account Share Capital Account

5. Issue of Bonus Shares Debit Cr ed it Debit Credit

(Being shares reissued)

13.

Share Forfeiture Account Capital Reserve Account

: : : :

6. Sale of Investments

(Being profit on forfeiture and reissue transferred to Capital  Reserve Account)

Debit Credit

: :

Journal Entries in the case of Redeemable Preference Shares

1.

Debit Credit

: :

2.

Debit Credit Credit

: : :

Bank Account Share Capital Account

: : :

(Being debentures issued)

b) For consideration other than cash

Bank Account Shares issued at discount Account Share Capital Account

Debit : Assets account Credit : Vendor account

(Being Shares issued at premium)

Debit : Vendor account Credit : Debenture Account

(Being assets purchased)

REDEMPTION OF SHARES

2. From price point of view

1. Redemption Due Debit Debit Credit 

: : :

Redeemable preference share capital Account Premium on Redeemable share Account Preference share holder Account (Being share Redeemable)

: :

Redeemable preference share holder  Bank

3. Transfer Premium on Redemption Account Debit Debit Credit

: : :

a) When debenture is issued at discount Debit : Bank Account Debit : Discount Account Credit : Debenture Account b) When debenture is issued at Premium

2. Payment to Redeemed Shares Debit Credit

ISSUE OF DEBENTURES

Debit : Bank account Credit : Debenture account

Bank Account Share Capital Account Share Premium Account (Being Shares issued at premium)

Debit Debit Credit

Ban k A ccou nt Investments

1. From consideration point of view a) Issue of debentures for cash

(Being Shares issued at par)

3.

Capital Redemption Reserve Account Bonus to share holders account Bonus to share holder account Share Capital Account

Share premium Account General Reserve/Reserve Fund Premium on Redemption of preference share capital Account

Debit : Bank Account Credit : Debenture Account Credit : Premium on Debenture Account c) When debenture is issued at Par  Debit : Bank Account Credit : Debenture Account

4. Tranfer to capital Redemption Reserve Account Debit C re di t

: :

Reserve Account Capital Redemption Reserve (CRR = Redemption preference share – Fresh Issue of share capital)

16

GENESIS / DHURUVA

GENESIS / DHURUVA

17

  s   r   u   o  .   o   i    f   s   s   v   e   e   r   r   R   u  p   r   a   e   g    i    h   e    F   t    Y

VERTICAL FORM OF BALANCE SHEET

Balance Sheet of ......................................................as at ....................... (I) SOURCES OF FUNDS

Schedule No.

Figure as at the end of current f inan cia l year

Figure as at the end of Previous f in an ci al year  

(1) Shareholder’s Funds (a) Capital (b) Reserves & Surplus

................ ................

............... ...............

... ..... .... .... ................

(2) Loans Funds (a) Secured Loans (b) Unsecured Loans

................ ................

............... ...............

................ ................

TOTAL

..............................................................

(II) APPLICATION OF FUNDS (1) Fixed Assets (a) Gross Block ................ (b) Less Depreciation ................ (c) Net Blo ck .... ... .... .... . (d) Capital work in progress ................

............... ............... .... ... .... ... . ...............

................ ................ . .. .. .. ... .. .. .. ................

.... ... .... .... . ................

.... ... .... ... . ...............

. .. .. .. ... .. .. .. ................

.... ... .... .... . ................ ................

.... ... .... ... . ............... ...............

... .. .. ... .. .. .. ................ ................

(a) Li abil itie s .... ... .... .... . (b) P rov isio ns .... ... .... .... . Net Current Assets ................ (4) (a) Miscellaneous expenditure to the extent not written off or  ad juste d . ....... ... .... . (b) Profit & Loss Account ................

.... ... .... ... . .... ... .... ... . ...............

. .. .. .. ... .. .. .. . .. .. .. ... .. .. .. ................

. .... ... .... ... ...............

. .. .. .. ... .. .. .. ................

(2) Investment (3) Current Assets: Loans & Advances (a) I nve nto ri es (b) Sundry debtors (c) Cash and bank bal ance s (d) Other Current Assets (e) Loans & Advances LESS : Current Liabilities

and Provisions:

TOTAL 18

.............................................................. GENESIS / DHURUVA

   )

 .  .  .  .  .  .  .  .  .

  r   t

  o   n    M    f  .   r   r  .  .    R   s   e   r  .   a   s  .    O   e  .   r   u  e  .    F   u   c   Y   R  .  .   g   e  .    L    i    h    A    F   t    T    )    N    d   e  ,    O    t   e   s    Z    I   c   u   e    j   e   n    R   r    d   n   a   a   u    O    l   o    t    t   a    i   r    h    H  ,   o   n   s    (    b  .  ,   s  p    d   s    f   u  .   n    f   e   n   c  .  ,   g    h    l   e    t  .  .   a  .   s  e  c  e   e  o   o   n  c   c  .    i   o    S    t   n  .   s   a    T   p   n    d  e  .  ,   e   c    l    T    L    t   C  s  .  ,   x   t    i   a  s  .    t    A   e  ,  .    i    E   r  ,   u  ,  ,  .   v  .    E  r   y  .    S    b  r    d  o   e   s   s  .   c   w   s   c   t  .    t   s  s  n   t   d    S  ,   e  .   s    t   :    A  n  e   s  .   e  e   A  a   b   n   s   d   i  .   o   e    A   s   a  ,   u  o  .    t   s    h   c   t    D   n   n    L  .    h    t   o   v  .    &   e   s   s   a  c   n  n  n  .    t   e   t    d   n  .    i   s    i   n    d    L  a  .   y  s  a  s   n  e    A  a  e   r   e   s    l  ,   v  r   k   d  n    t   a   t   n   o    l    t   d    l   M   m   a    A   l   a   r   c  n  a   t    i   p    l   x    t   e   a   n   o  u  o  n    &    t   e  e   e  e    t   w    t   s   o   e   A  u   s    d   d    i    t   r   a    S    S    R    D   c   h    f    C    L    T   e   o  n   e  .   r    d    t  .   s    )   o    )   v  .   x   o   l   a    i   u  n  .    i   o   r  .    A   n    B    t  .    (    P    F   G    P    I    C    A    (    (    M  .  .  .  .   s  .   u  .   r  .  .   o  .   o  .    f    i   r  .  .  .  .   s   v   a  .  .  .  .   e   e  .   r  .   e   s   r  .  .  .   u   p   Y   R  .  .  .    i   g   e  .  .    F   h  .    t  .  .  .  .  .   r   t  .   o   n  .    f  .  .  .   s   e  .   r   r  .  .  .   a   s  .   e   r  .  .  .   e   R   r   u  .   u  .   c   Y  .  .  .   g   e  .  .  .  .    i    h  .  .    F   t  .  .  ,  .   g    d  .  .   m   n   e  .    i   m  .   u   s   r  .    i    d  .  ,   o   e  .   n    t  .   m    k   p     a    f   c   e   n    t    t   o   r   r   /   o   r   s   a    t    A    B   o    P    t    P    h   s  u  ,   e   :   e  s   s   s   e    S    O   r   e   s   s    i  ,   m   n   r   a  o    t    E    h   u   o    I    i   s   o    l   e   s    h   r    i    L    l   r  .  ,    S    f   s    T    d  .   p  s    h   e    i   s  ,    I   o  c    i    t    i    t   e  p   r  ,   &   n   n   e  .    i   t    t   :    L   v  c   s   b   s  a   a  o    i    I   c   :    b   u   u  s   t   a   d  e  :   o    i    t    l   n    i  ,    i   o   s   e   n   r    i   n    d    f    B   e  ,   r   e    l    i    S  v  o   a  o    L   s    L   r   c   o   n   a    t    P    b   a   s  a   r   r    L    i  ,    A   s  o  ,    l    t    I   o  ,   s   d   a   i   s  .    i    i    b   s   t   C  e   i    d   a    P   &  e   n    P   L  s    L    i   n   o   c    L   p   d  u   &   s  s   y  s  s   o  n    B    t   v  n    i   e  a  e   e   p   e  r   n   i   t   n   e   a   e   S   r    l   r    i   e   o  r   d  e  v  a   i    d  a    R    d  u  o  u  e  ,    t   r   s  ,   p   e    C   i   r   n  p   x  v   t    t   L    D  s   n    l   s   e   r   d  u   v    P  u  u  x  o   r   a   i   o   a   u   r   n  r   c    d   r   e   e   o    l    t   e   n   u  e  e    d  a   r    C   r    h  e   l    i    S    E    T    D    P    T   e   e   s  e   r   d   a   t   u   l   s  p  p    b   r   c    )    )    h   x  o   u  n    t   n   a   e  a  u   e  e    h   u  s    i    A    L    C    B   s   C   R    I    C    S   S    D    O    F    S   A    U    A    (    (

GENESIS / DHURUVA

19

AMALGAMATION

3. Sale of Assets not taken over  (Assuming Profit)

Accounting Standard 14 is applicable only for accounting in the books of Purchasing Company. (Transferee Company).

D eb it : Cash (Sale Proceeds) Credit : Asset (Book Value ) Credit : Realisation (Profit)

A) Books of Transferor Company (Selling Company)

4. Settlement of Liabilities not taken over (Assuming at a Discount)

1. Transfer to Realisation Account a. Assets taken over (at book values).

D eb it : Liabilities Credit : Bank Credit : Realisation

D eb it : Realisation Credit : Assets

(Being settlement of liabilities which is not taken over by 

b. Liabilities taken over  D eb it : Liabilities Credit : Realisation

transferee company)

5. Realisation Expenses Situation 1 – Borne by Selling Company.

2. Purchase Consideration

D eb it : Realisation Credit : Bank

a. Computation

(Being realisation expenses paid)

Method 1 – Net Assets method Purchase consideration. Aggregate of Assets taken over at agreed values Less Liabilities taken over. These Net Assets would be discharged in the manner agreed between the 2 Companies. Method 2 – Payments Method

Situation 2 – Borne by Purchase Company. a. Realisation expenses spent D eb it : Purchasing Company Credit : Bank (Being realisation expenses met by the purchasing company)

Purchase consideration is the aggregate of payments made in various forms to share holders of Transferor Company. Method 3 – Lump Sum Method Purchase consideration is an absolute sum agreed between the 2 Companies without specific reference to Assets & Liabilities taken over. These Lump Sum is paid in the manner agreed between the 2 companies. b. Due Entry D eb it : Purchasing Company Credit : Realisation (Being purchase consideration due)

c. Receipt D eb it : Shares/ Debentures of Purchasing Company. D eb it : Cash Credit : Purchasing Company (Being purchase consideration received) 20

(Being purchase consideration received)

GENESIS / DHURUVA

b. Reimbursement D eb it : Bank Credit : Purchasing Company (Being realisation expenses reimbursed by the purchasing company)

6. Amount due to Share Holders a. Transfer of Share Capital & Reserves to Shareholders. D eb it : D eb it : Credit : b. Transfer D eb it : Credit :

Share Capital Reserves Share holders of Realisation Profit / Loss (  Assuming Profit ) Realisation Share Holder 

7. Settlement to Shareholders of Transferor Company D eb it : Shareholders Credit : Shares / Debentures of Purchasing Company Credit : Bank (Being Shares / Debentures Issued towards settlement) GENESIS / DHURUVA

21

a. Journal entry at the time of Acquisition D eb it : Credit :

2. Outside Liabilities

Amalgamation Adjustment Account Respective statutory Reserve.

a. Waiver of Amount due on Liabilities by the outsider.

Note: a) Statutory Reserve shall appear along with Reserves & Surplus whereas Balance in Amalgamation Adjustment Account will appear in the  Assets side under head Miscellaneous Expenses to the extent not written off.

b. Journal entry on Complaints with Conditions Reserve Account no longer to be maintained. D eb it : Credit :

Statutory Reserve Account Amalgamation Adjustment Account.

3. Discharge of Purchase Consideration ( same for both methods ) D eb it : Credit :

Liquidation of Selling Company Equity Shares / Debentures / Cash.

Amalgamation in the nature of merger  D eb it : Reserves Credit : Cash

ii.

Amalgamation in the nature of purchase D eb it : Goodwill / Capital Reserves Credit : Cash.

Liabilities Account Reconstruction Account

b. Settlement of Liability at Discount. Debit  : Credit : Credit :

Liabilities Account Bank Reconstruction Account.

c. Asset taken over by creditors in discharge of Liability ( Assuming  Liability discharged is greater than Book Value of Asset ) Debit  : Credit : Credit  :

Liabilities Account Asset Account Reconstruction

d. Conversion of Liability into Secured Debentures / Share Capital

4. Realisation expenses borne by Purchasing Company

i.

D eb it : Credit :

D eb it : Credit :

Liabilities Account Debenture / Share Capital.

3. Share Capital

a. Reduction in number of shares - Paid up capital per share being same. D eb it : Credit :

Share capital Account Reconstruction Account

b. Reduction in paid up value per share - No. of shares remaining same. Note : This represents issue of new class of shares with lower face value in lieu 

INTERNALRECONSTRUCTION

of old shares.

Meaning:

This is a form of internal arrangement whereby the accumulated losses and unexpired preliminary expenses in the books are written off. This is made possible through Reduction in the face value of the Shares, Reduction in the Paidup value of Shares without reducing the number of Shares, Revaluation of Assets, Waiver of Liability, etc.,

Equity share capital ( old ) Account Equity share capital ( new ) Account Reconstruction Account

c. Consolidation / Sub division of shares D eb it : Equity share capital ( old ) Account Credit : Equity share capital ( new Fixed Value) Account 4. Utilisation of Reconstruction Surplus

1. Assets

a. For writing off  b. For writing down value of Assets specified. c. For writing off intangible

a. Revaluation (Assuming Profit) D eb it : Asset Account Credit : Reconstruction Account

D eb it Credit Credit Credit

b. Sale of Unproductive Assets (Assuming Profit) D eb it : Bank Account (Sale Proceeds) Credit : Assets (Book Value) Credit : Reconstruction (Profit ) 24

D eb it : Credit : Credit :

GENESIS / DHURUVA

: : : :

Reconstruction Account Profit / Loss Account Assets Intangible Assets

GENESIS / DHURUVA

25

5. Transfer of Reconstruction surplus (if any ) to Capital Reserve D eb it : Credit :

Reconstruction Account Capital Reserve

2. Super Profits Method: Step 1 : Ascertain Normal Rate of Return (NRR) for the Industry in which the Company whose Goodwill being valued.

Note: Expenses incurred for Reconstruction if any to be debitted to Reconstruc-

Step 2  : Compute actualprofits - operatingprofits made by the Company.

tion Account.

Step 3 : Compute actual capital employed - Either Terminal Capital employed or Average Capital employed

6. Others

The scheme of Reconstruction normally provides for: a. Addition to the name of the Company, the words ‘and reduced’ b. Disclosure in Annual Accounts, the particulars of reconstruction ie., Date of High Court Order, Adjustment to the value of Assets & Liabilities. This disclosure is called for a period specified by the court.

=

Opening Capital Employed + Closing Capital 2 (or)

= Closing Capital employed - 1/2 the year profit. (or)

VALUATIONOF GOODWILL

= Opening Capital employed + 1/2 the year profit.

Definition:

Capital employed is calculated under two approaches as follows:

Goodwill is the value of Reputation which the Company / Organisation has gained through its standing in the business. It is the excess earning capacity of such Enterprise / Company.

(a) Shareholders Approach:

Methods of Valuing Goodwill:

Average Profits Method, Super Profits Method, Capitalisation Method & Annuity Method. 1. Average Profits Method:

i) Ascerain Profits of Normal year of the Business Return which shall be adjusted for 

(b) Longterm funds Approach Capital employed = Shareholder funds + Longterm borrowings. The Capital employed ascertained as above is referred as Liabilities side approach and is to be adjusted for the changes in values of Operating Assets and after excluding non operating Assets. Capital employed can alternatively be calculated under the Assets side Approach as follows:

a) Non recurring items eg : Profit on sale of Asset

(a) Value of operating Assets to Business.

b) Non Operating items eg : Income from Investments

(b) Less Outside Liabilities

c) Changes in Business Condition eg : Change in Tax rates.

(c) Capital Employed = (a) - (b) Step 4

ii) Computation of Average Profits Note: Simple Average

Capitalemployed= Share capital + Reserves & Surplus – Miscellaneous Expenditure

= For Fluctuating Profits

Weighted Average = For Increasing / Decreasing Profits in a trend.

iii) Goodwill is Computed as the no. of years purchase of average profits.

: Compute Normal Profitj ie., excess of actual profits (2) over  normal profit (4)

Step 5  : Compute super profit ie., excess of actual profits (2) over  normal profit (4) Step 6  : Goodwill = No. of Years purchase x Super Profits

Note: No. of years purchase represents the multiplication factor.

26

GENESIS / DHURUVA

GENESIS / DHURUVA

27

3. Capitalisation Method

2. Earnings Capitalisation Method

Steps 1,2 and 3 same as in Super profit method.

Step 1 : Compute Earnings Per Share (EPS).

Step 4 : Compute Normal Capital employed.

Step 2  : Ascertain Normal Rate of Return (NRR). Step 3 : Value per share is arrived by capitalising at NRR.

Normal Capital employed =

Actual Profit

x 100

Normal rate of Return Step 5  : Goodwill

= Excess of Normal Capital employed over Actual Capital Employed.

Value per share

=

EPS NRR

x 100

3. Productivity Factor Method Step 1 : Computation of Productivity factor 

4. Annuity Method

a. Compute weighted average net worth of a given period.

Goodwill under this method calculated by multiplying the Annuity Factor  with the Average Profit or Super Profit.

b. Compute weighted average Profit After Tax (PAT) for the same period. c. Compute Productivity factor 

VALUATIONOF SHARES Production Factor

A. Net Asset Value Method

Weighted Average PAT

Step 2  : Ascertain Net worth on the valuation date.

Step 2  : Add Value of Goodwill and Non operating Assets if any

Step 3 : Compute Future Maintainable Profit (FMP).

Future Maintenance Profit = Net Worth x Productivity Factor.

Step 3 : Divide the aggregate of Step 1 & 2 by the number of shares outstanding as at Valuation date. B. Yield based

The Various Methods under this are Dividend Capitalisation Method Earnings Capitalisation Method & Productivity Factor Method. 1. Dividend Capitalisation Method

Step 5  : Ascertain Normal rate of return. Step 6  : Capitalise Adjusted FMP at NRR to arrive at value of business.

of business.

Step 2  : Ascertain Normal rate of return. Step 3 : Capitalise the Dividend per share at above normal rate of  return to arrive at value per share.

=

Step 4 : Ascertain Adjusted FMP ie., Future Maintenance Profit as per  Step 3 adjusted for changes in business. (eg. Change of tax  rate) .

Step 7  : Add : Non operating Assets (eg. Investments ) to above value

Step 1 : Ascertain Dividend per share

Value per share

x 100

Weighted Average Net Worth

Step 1 : Compute Net Operating Asset ( Refer Capital Employed  Computation under Valuation of Goodwill ). (eg. Investments)

DPS

Less : Preference Share Capital ( if any ) Step 8  : Value per share = (Step 6 + Step 7) / Number of Shares 4. Market Price Method

x 100

Step 1 : Ascertain Earnings Per Share.

NRR

Step 2  : Ascertain from published sources the Price Earnings Multiples for similar size Company operating in the same industry.

(Where DPS = Dividend Per Share NRR = Normal Rate of Return)

28

=

Step 3 : Value per share = EPS X PE Ratio.

GENESIS / DHURUVA

GENESIS / DHURUVA

29

HOLDING COMPANY

Step 4 : Minority Interest

It is the aggregate of 

Consolidated Balance Sheet: Step 1 : The date of Acquisition - This is the basis for segregating profit of Subsidiary Company in to Capital & Revenue profit or in otherwords Preacqusition & Post acquisition profits. Step 2 : The particulars of shareholding as on the date of Consolidated Balance Sheet. Particulars

No of Shares

Percentage of holding  

1.Holding Company

XXX

XXX

2.Minority Company

XXX

XXX

Step 3 : Segregation shows analysis of profits of subsidiary as at the date of Consolidated Balance Sheet.

Particulars of Reserves

Capital profit (Pre-Acq uisio n Profit)

Post Acquisition Prof it (Reven ue Reserve)

Post Acquisition Pro fi t (Revenu e Profit)

General Reserve

xxx

xxx

xxx

Other  Reserve

xxx

xxx

xxx

Revaluation Reserve

xxx

Nil

Nil

Profit & Loss A/c

xxx

xxx

xxx

Total  Note : a)

Profits of subsidiary are segregated as Pre acquisition & Post acquisition on the basis of date of acquisition. (Step 1)

b)

Segregated profits are apportioned between holding Company & MinorityInterest  on the basis of shareholding pattern as at the date of consolidated balance sheet.(Step 2)

c)

Preliminary expenses /Miscellaneous expenses shall also be adjusted in the  process of segregation of reserves.

a) Share Capital of Subsidiary b) Share of  i) Capital Profit ii) Revenue Reserve iii) Revenue Profit Step 5 : Cost of control It is the difference between Cost of Investment of Holding company in subsidiary Company and Value of Holding Company’s Interest in Subsidiary as on the date of acquisition.

Cost of Acquisition: a) Cost of Investments ( as per books ) b) Less : Dividend if any received from subsidiary after the date of  acquisition for the period prior to Investment. Value of Investment (Holding Company’s Interest ) a) Holding Company’s Interest in Share Capital of Subsidiary. b) Add : Holding Company’s Share of Capital profits( Step3) Note : If cost of Acquisition > Value of Investment, t hen G oodwi ll = C os t – Value . If value of Acquisition> Cost of Acquisition, then Capital Reserve = Value – Cost.

Step 6 : Inter Company transactions

a) Calculation of Inter Company owings. (Debtors/Creditors and loans given/ loans taken).

b) Creation of Stock Reserve for the unrealized profit on closing stock arising out of inter company sales/purchases. To the extent of Holding Company’s Interest, Stock Reserve is created out of  Profit. (Alternatively, stock reserve may also be created for the total unrealized profit) . Step 7 : Reserves for Consolidated Balance Sheet

a) Reserves of Holding Company (as per the books) b) Less Dividend received from subsidiary out of pre acquisition profits adjusted against cost of investment (Step 5) c) Add Holding Company Share of Revenue reserves and Revenue Profits of subsidiary (Step 3) d) Less Stock reserve (Step 6b)

30

GENESIS / DHURUVA

GENESIS / DHURUVA

31

3

Cost Accounting

Profit and Loss Account of a Banking Company Income

Schedule

Interest & discount earned Other incomes

13 14

Amo unt

xxxxxx xxxxxx

Interest expended Operating expenses Provisions & contingencies

15 16

Profit for the year Add: Balance of Profit & Loss Brought forward from Previous Balance sheet

Less: Transfer to statutory reserve fund Transfer to other reserves Interim Dividend, Proposed dividend etc

xxxxxx xxxxxx xxxxxx ———— xxxxxx

xxxxxx xxxxxx

Elements of Cost

xxxxxx ————

Direct

Labour

Indirect

Direct

Indirect

Direct Materials Add xxxxxx ———— xxxxxx ————

:

L es s :

Schedule 16  - Operating Expenses

Schedule 14 - Other Income

All administration expenses like rent, Profit on exchange transaction salary, printing & stationery etc. Less : Loss on Exchange Provisions & contingencies Transaction Bad debts Other incomes (including share of  Provision for bad debts dividends from subsidiaries and amount  Provision for taxation.

 ______  GENESIS / DHURUVA

Indirect

Opening stock of Raw Materials Closing stock of Raw Materials

Rs.

xxxx x xx x (-)xxxx xxxx

Direct Costs (if any)

xxxx

Prime Cost

xxxx

Factory overhead

xxxx

:

Less :

Interest on deposits Interest on borrowings Other interest

Direct

Direct Labour

Add

Schedule 13 - Interest & discount Schedule 15  earned Interest Expended

Other Costs

Overheads

Format of Cost Sheet :

Schedules forming part of Profit & Loss Account

34

Mere knowledge of Total Cost cannot fulfill the entire information needs of a management. For a complete control and analysis, classification of  Total cost is necessary. Cost sheet will give the components / classification of Total Cost.

Materials

xxxxxx ———— xxxxxx

Balance of Profit & Loss Account carried forward to Balance Sheet

charged against current account )

This is a statement showing various elements of Total Cost of a Product. Need For Cost Sheet :

Less : Expenditure

Discount on bills Interest on loan Interest on overdraft Interest on cash credits

COST SHEET :

Opening work-in progress Closing work-in progress

xxxx (-)xxxx

Factory or Manufact uring or Works Cost

xxxx

Add:- Administrative overhead

xxxx

Cost of Production

Add

:

L es s :

Opening stock of finished goods Closing stock of finished goods

x xx x (-) xxxx

Cost of Production of goods sold

xxxx

Add:- Selling & Distribution overhead

x xx x

Cost of Sales

xxxx

Profit

xxxx

Sales

xxxx

MATERIALCOSTING

5. Labour Utilization = Actual hours / Available hours.

1. Economic ordering quantity or Re-order quantity (ROQ) = 2AO/C Where A = Annual consumption O = Ordering cost per order  C = Carrying cost per unit

6. Absenteesm = No of absentees / Average no of employees. 7. Accident frequency per week = No of accidents to date No of weeks of date. 8. Illness =

Hours lost due to Illness / Total labour hours.

2. Re-order level (ROL) = Maximum delivery period x Maximum usage or  consumption.

9. Labour productivity = Production in standard hours / Actual hours.

3. Minimum level or minimum stock level = ROL – {Normal usage x Average delivery period}.

11. Earning under straight Piece rate system = No of units X Rate per unit.

4. Maximum level or maximum stock level = ROL + ROQ – (Minimum consumption x Minimum delivery period) 5. Average stock level = (Minimum level + maximum level) ½ or  Average stock level = Minimum level + ½ of ROQ or EOQ. 6. Danger Level = Average consumption x Maximum Delivery period. 7. Inventory Turnover Ratio =

Cost of goods sold Average Inventory

8. Safety stock =

Max. lead time - Avg. lead time

9. Carrying Cost = 1/2 x Order Size x Inventory Carrying Cost Per Order.

LABOURCOSTING

13. Merrick’s differential piece rate system Outputs

Payment

Upto 83% 83% to 100% Above 1 00 %

Ordinary piece rate 110% of ordinary piece rate 120% of ordinary piece rate.

Output

Payment

Output below standard

Time rate

Output at standard

20% bonus on time rate

Output above standard

High piece rate on the entire output

15. Halsey Premium plan

Labour Turnover 

Earning

Under separation method = No. of Separation during a period Average no. of. Work force during a period

x 100

b) Under replacement method = No of replacement during a period

x 100

Avg. No. of work force during period No.of separations + no.of additions Average no. of workers during a period

= Actual hours x rate per hour + 50% of time saved x Rate per hour.

16. Rowan System Earning

= (Hours worked x rate per hour) + (Time saved / Time allowed) x Hours worked x rate per hour.

where Time saved = Time allowed – Time Taken. 17. Emerson's efficiency bonus Earnings = Actual hours x rate per hour + bonus percentage x hour worked x rate per hour.

c) Flux method = x 100

2. Level of activity = Actual production in standard hours/ budgeted hours. 3. Labour efficiency = Actual production in standard hours Actual hours worked 4. Labour cost per unit = Direct wages / total no of units. 36

12. Earning under Taylor's differential piece rate system = Low Piece rate if the actual output is below standard. High piece rate if the actual output is above standard.

14. Gantt task bonus plan

x Annual Consumption.

360 days

1. a)

10. Earning under time rate = Hours worked X Rate per hour.

GENESIS / DHURUVA

Bonus calculation: Efficiency

Bonus

Upto 66 2/3%

No bonus

66 2/ 3% to 100 %

2 0% o f hou rly rate

above 100%

20% + 1% for every 1% increase in efficiency.

GENESIS / DHURUVA

37

Verification :

DIRECTMATERIAL USAGE VARIANCE

Direct Labour Cost Variance

Direct Material Mix Variance (DMMV) 4. Direct Material Mix Variance (DMMV)

Direct Material Yield Variance (DMYV)

= Direct Labour Rate Variance + Labour  Idle Time Variance + Labour Efficiency Variance

DIRECT LABOUR EFFICIENCYVARIANCE Direct Labour Efficiency Variance (DLCV)

= Standard Price × (Revised Standard Quantity – Actual Quantity)

* Revised Standard Quantity = Total Weight of Actual Mix

Direct Labour Mix Variance (DLMV)

× Standard Quantity

Total Weight of Standard Mix 5. Direct Material Yield Variance = Standard Cost per unit × (Standard Output for Actual Mix – Actual Output)

10. Direct Labour Mix Variance * Revised Standard Time

Verification :

Direct Material Usage Variance

= Direct Material Mix Variance + Direct Material Yield Variance

= Standard Rate × (Revised Standard Time – Actual Time) = Total Actual Time

× Standard Time

Total Standard Time * Revised Labour Efficiency Variance = Standard Rate × Standard Time for  Actual Output – Revised Standard Time

DIRECT LABOUR COST VARIANCE Direct Labour Cost Variance (DLCV)

Direct Labour   Yield Variance (DLYV)

11. Labour Yield Variance Direct Labour Yield Variance = Standard Cost per unit × (Standard Output for Actual Mix – Actual Output)

Direct Labour Ra te Varian ce (DLRV)

Direct Labour   Eff ici en cy Va ria nce (D LEV )

* Standard Cost Price Variance

= Total Standard Cost ÷ Standard Output

* Standard Output for Actual Variance = Actual Mix ÷ Standard Mix Verification :

6. Direct Labour Cost Variance = Standard Cost for Actual Output – Actual Cost.

Direct Labour Efficiency Variance= Direct Labour Mix Variance + Direct Labour Yield Variance

or  (Standard Rate × Standard Time for  Actual Output) – (Actual Rate × Actual Time) 7. Direct Labour Rate Variance = Actual Time × (Standard Rate – Actual Rate) 8. Direct Labour Efficiency Variance

= Standard Rate × Standard Time for  Actual Output – Actual Time

9. Idle Time Variance

= Standard Hourly Rate × Idle Hours

42

GENESIS / DHURUVA

III OVERHEAD VARIANCE 12. Overhead Cost Variance (OCV) = Rec ove red Ove rhe ads – Act ua l Overheads * Standard Overhead Rate per unit

= Budgeted Overheads

* Recovered Overheads

= Standard Rate per hour × Standard Hours for Actual Output

Budgeted Output or Budgeted Hours

GENESIS / DHURUVA

43

FIXEDOVERHEADVARIANCE

OVERHEAD COST VARIANCE

Fixed Overhead Cost Variance Variable Overhead Cost Variance (VOCV) 13. Variable Overhead Cost Variance where * Recovered Variable Overheads

Fixed Overhead Cost Variance (FOCV) = Recovered Variable Overheads – Actual Variable Overheads

* Recovered Fixed Overheads

15. Variable Overhead Expenditure Variance

Variance

Fixed Overheads

18. Fixed Overheads Volume Variance

= Actual Output × Standard Fixed Overheads Rate per unit

Variable Overheads Efficiency Variance (VOEFFV) = Actual Time × (Standard Variable Overheads Rate per hour – Actual Variable Overheads Rate per hour  or 

Budgeted Fixed Overheads Fixed Overheads Volume Variance

Fixed Overhead Efficiency Variance

Efficiency Variance

44

Fixed Overhead Capacity Variance

19. Fixed Overhead Efficiency Variance

= Standard Fixed Overhead Rate per  hour × (Standard Hour for Actual Production – Actual Hours)

20. Fixed Overhead Capacity

= Standard Fixed Overhead Rate per 

Variance

hour × (Actual Hours Worked – Budgeted Hours)

2 1. Ca pa city Va ri an ce

= S t an d ar d O ve r he ad s – B u dg e te d Overheads

22. Calendar Variance

= Standard Rate per hour (or) per day × Excess or Deficit Hours (or) Days worked

23. Revised Capacity Variance

= Capacity Variance – Calendar  Variance

Standard Variable Overheads – Actual Variable Overheads 16. Variable Overheads

= Recovered Fixed Overheads –

= Recovered Fixed Overheads – Actual Fixed Overheads

Variable Overhead Cost Variance (VOCV)

Variable Overheads Expenditure Variance (VOEXPV)

Fixed Overhead Volume Variance

17. Fixed Overhead Expenditure = Budgeted Fixed Overheads – Actual = Actual Output × Standard Variable Overheads Rate per unit

* Actual Variable Overheads = Actual Rate per unit × Actual Output or Actual Rate per Hour × Actual Hours 14. Fixed Overhead Cost Variance (FOCV) Where

Fixed Overhead Expenditure Variance

= Standard Variable Overheads Rate per hour × (Standard Hours for Actual Production – Actual Hours)

GENESIS / DHURUVA

GENESIS / DHURUVA

45

IV. SALES VARIANCES

Note :

1. Standard Overhead Rate per unit =

Budgeted Overheads Budgeted Output

2. Standard Overhead Rate per hour =

Budgeted Overheads

With reference to Turnover 

2 5. Valu e Vari an ce

=

Bud ge te d Sa le s – Actu al Sale s

2 6. Price Varian ce

=

Stan dard Sal es – Act ual Sale s

Budgeted Hours 3. Standard Hours for Actual Output =

Budgeted Hours

or  Actual Quantity sold × (Standard Price – Actual Price)

× Actual Output

Budgeted Output 4. Standard Output for Actual Time

=

Budgeted Output

× Actual Hours

27. Volume Variance

=

Budgeted Hours

Standard Price × (Budgeted Quantity  – Actual Quantity) or 

5. Recovered or Absorbed Overheads = Standard Rate per unit × Actual Output

Budgeted Sales – Standard Sales 2 8. Mix Va ria nce

=

* Revised Standard Quantity

=

or  Standard Rateper unit × Standard Hours for Actual Output 6. Budgeted Overheads

Total Quantity of Actual Mix

= S ta ndar d Rat e p er un it × Budgeted Output

Total Quantity of Standard Mix

7. S ta nda rd Over hea ds

= Standard Rate p er u nit × Standard Output for Actual Time

29. Quantity Variance

=

Budgeted Sales – Revised Standard Sales

=

Stan dard P rofi t – Act ua l Pro fit or 

With Reference to Profit

3 0. Price Varian ce

Or  Standard Rate per hour × Actual Hours 8. A ctual Overheads

= Actual Rate per unit × Actual Output

Actual Quantity × (Standard Profit per  unit – Actual Profit per unit) 31. Volume Variance

=

46

GENESIS / DHURUVA

Budgeted Profit – Standard Profit or 

Or  Actual Rate per Hour × Actual Hours

×

Standard Quantity

or  S ta nd ar d R at e p er h ou r × Budgeted Hours

Stan dard Price × (Revise d Sta nda rd Quantity – Actual Quantity)

Standard Rate of Profit × (Budgeted Quantity – Actual Quantity) 32. Mix Variance

=

Revised Standard Profit – Standard Profit

33. Quantity Variance

=

Budgeted Profit – Revised Standard Profit

GENESIS / DHURUVA

47

4

Management Accounting RATIO ANALYSIS

Profitability Ratios :

1. Return on Capital Employed (ROCE) or Return on Investment (ROI) ROI

=

or

=

Profit Capital Invested

_______________________ 

Net Profit

______________ 

x

Sales

_______________________ 

Sa les

x 100

Ca pit al I nve ste d

2. Earnings per Share (EPS) =

Profit after tax & Dividend

____________________________________ 

No. of equity shares Or  Profit available for equity sharehholders

 ________________________________________________________________ 

No. of equity share

3. Gross Profit Margin =

Sales - cost of goods sold

___________________________________________ 

x100

Sales Or  =

Gross Profit

__________________ 

x100

Sales

4. Net Profit Margin

=

Net Profit before interest and tax ____________________________________________________  Net Sales

5.CashProfitRatio

=

Cash profit ________________ 

x 100

Sales 6. Cash Profit

=

Net Profit + Depreciation

7.Return onassets

=

_________________________ 

Net Profit after Tax Total assets

x 100

x100

8) Return on Shareholders funds or Return on = net worth 9 ) Net worth

Current Assets - Inventories Prepaid expenses

Net Profit after interest and tax _________________________________________________ 

x100

2 ) Qu ick or Li qui d rati o

=

Eq uit y Capi ta l + Rese rves an d S ur pl us

Activity or Turnover Ratios 1) Inventory turnover ratio

Long-term debt

=

=

_______________________________ 

Average Inventory where

Shareholders Equity =

_______________________________ 

Cost of Sales

or 

_______________________________ 

Cost of goods sold Average Inventory

Shareholders funds

2) Shareholders Equity ratio

_______________________________________________ 

Current Liabilities

Solvency ratios Long-term Solvency ratios 1) Debt-Equity ratio

=

Net worth

___________________________________ 

Average Inventory

=

Opening Stock + Closing Stock _________________________________________________  2

Total assets (Tangible) Long-term debt 3) Debt to Net worth ratio

=

2) Inventory ratio

___________________________ 

=

Fixed interest bearing funds =

______________________________________________ 

Equity Shareholder's funds 5) Fixed assets to Long-term

Fixed assets =

3) Debtors turnover ratio =

Net Profit after tax

=

5) Bad debts to sales ratio =

______________________________ 

Profit before interest, depreciation and tax =

________________________________ 

Interest charges

Short-term Solvency Ratios :

6) Average payment period = (in days)

Or 

=

x 365

Credit Sales Bad Debts

__________________ 

Average Creditors

__________________________ 

x 365

Purchases 365

______________________________________ 

Creditors turnover Ratio

Current Assets 1) Current ratio

Average Debtors

___________________________ 

Sales

Dividend

7) Interest Cover

Net Credit Sales

____________________________ 

Average Debtors 4) Average Debtors collection period (in days)

__________________________ 

Long-term funds

6) Dividend Coverage ratio=

x 100

Current assets

Net worth

4) Capital Gearing ratio

Inventory

_____________________ 

_________________________ 

Current Liabilities

50

GENESIS / DHURUVA

GENESIS / DHURUVA

51

7) Creditors turnover ratio

=

Credit Purchase

___________________________ 

8) FixedAssets turnover ratio =

Sales _____________________ 

Market test Ratios

x 100

Average Creditors

=

Sales

___________________ 

x 100

Total assets 10) Working Capital turnover ratio

=

=

_______________________________ 

2) Dividend Yield Ratio

=

Dividend per Share _____________________________  x100 Market Price

3) Price Earnings ratio

=

_________________________________ 

x 100

Fixed assets

9) Total assets turnover ratio

________________________ 

x 100

Working Capital Management

Working Capital

=

x 100

goods conversion Period + Book debts conversion period

Capital employed

2) Net Operating Cycle =

Material consumed

____________________________ 

=

=

Labour Cost __________________ 

period C.A. 3) Working Capital Leverage

=

4) Administrat ive expenses ratio

=

5) Selling and Distribution expenses ratio

52

Where, C.A.

D

Factory expenses x 100 Sales ___________________________ 

Administrative expense s ___________________________________ 

_____________________ 

T.A. -

D C.A.

=

Current assets

T.A.

=

Total assets (i.e. Net fixed assets + Current assets)

C.A.

=

Change in Current assets.

Debtors and Inventory Management

x100

Economic Order Quantity (EOQ)

Sales

E OQ =

=

x 100

Sales

3) Factory overhead ratio

Gross Operating Cycle - Payment deferral

x 100

Sales

2) Labour Cost ratio

Raw material conversion period + Work-inprocess conversion period + Finished

Sales

___________________________ 

Operating Ratios 1) Material Cost ratio

Current market price Earnings per Share

Sales

1) Gross Operating Cycle = 11) Sales to Capital employed ratio

Dividend per Share Earnings per Share

1) Dividend Payout ratio

Selling and Distribution expenses

__________________________________________________ 

x100

Sales

GENESIS / DHURUVA

Where

=

2AB / CS A B

-

Annual demand Ord eri ng co st

C

-

Carrying costage

S

-

Price perunit

GENESIS / DHURUVA

53

CASH FLOW STATEMENT

Inventory Levels

R e -o r d er L e v el = M a xi m um u s a ge x M a x im u m r e o r d er   Period. Minimum Stock Level = Re-order level - (Average or Normal Usage x Average lead Time)

Maximum Stock level = Re-order level + Economic Order Quantity - (Minimum usage x Minimum reorderperiod)

The sources and uses are summarised under 3 heads:

Cash from

Operating Activities

C as h g en er a te d from operations

COSTOF CAPITALAND LEVERAGE Cost of Equity (KE)

Dividend Yield method

=

C as hf lo ws r el a ti n g to acquisition/disposal o f a ss et s / i nv es tm en ts

C as h fl ow r el at in g to financing of an e nt er pr is e.

A. Cash Flows from Operating Activities

x 100

DIRECT METHOD

1. Cash receipts from customers

Leverage

2. Cash paid to Suppliers/employees/expenses

EBIT EB T

1) Financial Leverage

=

_________ 

2)OperatingLeverage

=

_______________ 

3. Cash generated from operations 4. Taxes Paid

Contribution

5. Cash flow before Extra-ordinary items

EBIT =

6. + / - Extra - ordinaryItems

Contribution ________________  EBT

7. Net Cashflow from operating activites (or)

Where EBIT= Earnings Before Interest and Tax.

INDIRECT METHOD (Alternative Method)

EBT = Earnings Before Tax.

1. PBT & Extra-ordinary items. 2. Depreciation and other non-cash items.

Statement of Marginal Cost

54

C as h f ro m s ou rc e forming part of f i na n ci n g a n d investing activities.

Financing Activities

Form of Cash Flow Statement

Dividend __________________  Market Price

3) Total L everage

Investing Activities

3. +/- Non-operating items.

Sales

xxx

4. Operating Profit before Working Capital changes.

Less : Variable Cost

xxx

5. Adjustments for Working Capital changes.

Contribution

xxx

6. Cash generated from operations.

Less : Fixed Cost

xxx

7. Taxes paid.

Profit (EBIT)

xxx

8. Cash flow before extra-ordinary items.

Less : Interest

xxx

9. +/- Extra Ordinary Items.

EBT

xxx

10. Net Cashflow from Operating Activities. GENESIS / DHURUVA

GENESIS / DHURUVA

55

B. Cash flow investing activities.

Current Liabilities

1. Sale proceeds of assets

xxx

Sundry Creditors

2.

x xx

Provision for Taxation *

3. Income from investments

xxx

Proposed Dividend

4. Purchase of Assets

xxx

Bank overdraft

5. Purchases of Investments

x xx

Sale proceeds of investments

Bills Payable etc.

Net Cash from investing activities

x xx

C. Cash flow from financing activities

Total (B)

xxxx

Increase / Decrease in

1. Issue of Shares

xxx

2. Additional borrowings

xxx

3. Redemption of Shares

xxx

4. Redemption of Borrowings

x xx

5. Payment of Dividend

xxx

6. Payment of Interest on longterm borrowings

xxx

Working Capital (A - B) * Provision for Taxation and Proposed dividend can be taken as current assets provided there are no adjustments. If there is adjustments, Seperate Ledger accounts have to be opened and they have to be treated as non current assets as explained below Dr 

Net Increase/Decrease in Cash and Cash equivalent

xxx

Provision for Taxation A/c

Cr 

Particulars

Rs. P.

Particulars

To Cash (taxpaid)

xxx

By Balance b/d

xxx

To Balance c/d

xxx

By Profit and Loss A/c

xxx

Rs.

xxx

1. Definition of Cash and Cash Equivalents. Dr 

Accumulated Depreciation A/c

Particulars

Rs. P.

Particulars

Rs.

4.

To Fixed Assets A/c

xxx

By Balance b/d

xxx

To Balance c/d

xxx

By Profit and Loss A/c

xxx

xxx

Fund generally refers to Working Capital Steps. Previous Year

Current Year  

Dr 

Increase

Decrease

Current Assets

Total (A)

Fixed Asset A/c

Particulars

Rs. P.

Particulars

Rs.

xxx

By cash (sale)

xxx

To Profit & Loss

xxx

To Cash (Purchases)

xxx

By Depreciation

xxx

By Profit for Loss

xxx

By Balance c/d

xxx

xxx _____

GENESIS / DHURUVA

_____

 

_____

 

_____

 

xxx

xxxx GENESIS / DHURUVA

 

P.

_____

xxxx

_____

Cr 

To Balance b/d (profit on sale)

Stock Debtors Prepaid expenses Bank Cash, etc

 

xxx _____

I Schedule of changes in Working Capital

_____

P.

_____

Funds Flow Statement

 

Cr 

3. Management statement on commitments against cash balance. I n c re a s e i n o p e r a ti n g c a p a b il i t y o f a n e n t er p r is e o r c a s h required to maintain operating Capability.

_____

xxx _____

2. Reconciliation of Cash and Cash Equivalents.

Particulars

P.

_____

Notes (Forming Part of Cash Flow Statement)

56

xxxx

57

Dr 

Adjusted Profit and Loss Account

Cr 

Particulars

Rs. P.

Particulars

Rs.

To General Reserve

xxx

By Balance b/d

xxx

To Goodwill w/o

xxx

By Profit on Sale A/c

xxx

To Provision for Taxation

xxx

By Funds from operations

xxx

To Depreciation

xxx

P.

To Proposed Dividend (current year)

xxx

To Loss on sale of asset

xxx

To Balance c/d

xxx _____

xxx

_____

 

_____

 

_____

 

_____

 

xxx _____

Funds Flow Statement Sources

Rs. P.

Applications

Increase in Share Capital

xxx

Redemption of pref. shares

xxx

Rs.

Issure of Share

xx x

Redemption of debentures

xx x

S ale of F ix ed A ss ets

x xx

P ur cha se of F ixed A ssets

x xx

Decrease in working capital

x xx

Payment of Tax

x xx

Funds from operations

x xx

Payment of Dividend

x xx

Receipt of Loans

x xx

Increase in working capital

x xx

Payment of Loans

xxx

P.

_____

xxx

xxx _____

 ______ 

58

GENESIS / DHURUVA

5

Statistics MEASURES OF CENTRAL TENDANCY

Arithmetic Mean : (i) Raw Data: Direct Method   x  =

 x  N 

Format : X

N

x

N

Short Cut Method :  x 

=

 A +

d  N 

Format : X

N

d=x–A

N

d

where A = Assumed Mean (ii) Discrete Series : Direct Method   x  =

fx  N 

where f = frequency x = Variable in question N = Total No.of observations(ie) f  Format : X

f

fx

N

fx

Shortcut Method :  x  =  A +

Median (i) Raw Data

fd  N 

th

 N  + 1     2  

Size of  

where A = Assumed Mean d = (x – A) N = f  Format : X

f

Format : S.No.

d=X–A

Data in ascending order 

fd

fd

N (iii) Continuous Series : Direct Method :  x  =

item

(ii) Discrete Data th

 N  + 1     2  

Size of  

fm N 

item.

Format :

where

Data in ascending order

lower limit + upper limit

m = midpoint =

f

cf 

2

N = f  Format :

N Class

Midpoint(m) f

fm Where cf = cumulative frequency

fm

N

(iii) Continuous Data :

Short Cut Method :  x  =  A +

fd  N 

where A = Assumed Mean format Class

m

f

d=

N

m  A i 

fd

N  2  c .f  .

Median =

L +

where L = c.f. = F = i =

lowest limit, inclass interval cumulative frequency frequency of the median class Class interval



× i 

Format : Class

fd

f

cf  

where A = Assumed Mean i = width of the class interval 62

GENESIS / DHURUVA

GENESIS / DHURUVA

63

Mode :

(iii)Continuous Data :

(i) Raw Data: The numberoccurs more number of times.

G.M. = Antilog 

(ii) Discrete Series : Number with higher frequency

Format:

 f  log m    f  

Class

(iii) Continuous Series : Mode

=

where f 1 = f 0

=

f 2 = L = Format

L

+

f 1  f 0 2f 1  f 0  f 2

×

m

f

log m f log m



flogm Harmonic Mean : (i) Raw Data

Frequencyprevious to modal class Frequency ofthe modal class



Frequency next to modal class Lowest class limit of the modal class

H.M. =

1  x 

Format: Class



x

1/x

1/x

Geometric Mean : (ii) Discrete

(i) Raw Data



  log x   G.M. = Antilog  N    

H.M. =

Format :

Format: x

f   x 

x

log x

log x

f

f/x

N

f/x

(iii) Continuous

(ii) Discrete Data :



H.M. =

 f  log x    G.M. = Antilog   f   Format :

x

f

N 64

log x

f  m

Format: Class

f log x

flogx

m

f

f/m

f/m GENESIS / DHURUVA

GENESIS / DHURUVA

65

Standard Deviation :

MEASURESOF DISPERSION Mean Deviation : (i) Raw Data

(i) Raw:

)

s =

M.D =

(

  x   x 

 x  2

or  M.D.=

,where X =  x   x 



Format:



( x   x  ) X 

x

x2

D N 

Where, |D| = Deviation from median ignoring sign. Format : X |D|

x2

N (ii) Discrete Series : (a)Actual Mean

D

N (ii) Discrete M.D =

fX  2

s =



where x =  x   x 

(

f   x   x  f 

)

Format: x

( x   x  ) X 

f

fX

fX2

or  M.D =

f  D N 

fX2

N

Format : X

f

C.F.

|D|

(b) Assumed Mean

f|D|

s = f|D|

N

(



 fd         N   

2

where d = (x – A) Format :

(iii) Continuous

f  m  x  f  Format : M.D =

fd  2

x

)

Class

f

cf

m

|D|

f

(x – A)d

N

f|D|

fd

fd2

fd

fd2

(c) StepDeviation

f|D|

66

s =

GENESIS / DHURUVA

GENESIS / DHURUVA

fd  2  fd      N    N   

2

× i 

67

Format :

CORRELATION x

  x   a     = d    i   



fd

(i) Direct Method 

fd 2

N   xy   ( x  )(y )

r

fd

N

=

fd  2  fd      N    N   

=

× i 

x2

y

y2

xy

x

x2

y

y2

xy

 xy 



r

i = ClassInterval Format : m

=

 x  2 . y  2

where f 

 m  A     = d    i   

N

X

fd

fd2

fd

fd

=

(i) Quartile deviation

=

(ii) Co-efficientof Quartiledeviation

=

2

1

Q 3  Q1

6 D

=

X =  x   x 

x

X = 0

(

X2

y

Y = y   y 

X2

y

Y = 0

)

Y2

XY

Y2

XY

N  3  N 

r

Q 3 + Q1

fd  2  fd      N    N   



)

 N  dxdy dx dy

Q 3 Q1

 x 

(

x 2

2

=

 N dx  (dx)

2

2

 N dy2  (dy)

2

Format: x

dx = x–A

dx2

N

dx

dx2

d = X–A f = frequency

(iv) Co-efficient of variation

( y   y )

=

Assumed Mean :

2

(iii) Deviation taken from assumed mean(s) =

( x   x ) ; Y

Format:

Quartile Deviation :

where

x

(ii) Simple Method 

(m  A )

Class

2

2

Where d

2

Format:

fd2

(iii) Continuous Series :

s =

N  (y  2 ) (y  )

N   x  2  ( x  )

×100

y

dy = y–A

dy2

dxdy

dy

dy2

dxdy

Rank Correlation (i) When ranks are given : R 68

GENESIS / DHURUVA

=

GENESIS / DHURUVA

69

Format :

2. Deviations taken R1

R2

D2

D = R1 – R2

x on y

D2

=

1



 x  y 

=

 xy  y 2



6D 2  x 

N  3  N 

Format :

=

Rx

y

Ry

d2 (iii) Equal Ranks : 1



D2

D = Rx – Ry

y   y 

=

 x 

;

)

y 

=





y on x x

R

(

=

(ii) When ranks are not given : R

 x  y   y  y 

 x   x 

6D 2 +

=

y  =  x  Format: r 

1 (m 3  m )+ 1 (m 3  m )+ .......... 12 12 N  3  N 



 x   x   x  y 

(

)

 xy   x 2

x

x =  x   x 

x2

y

y = y   y 

y2

x

x = 0

x2

y

y = 0

y2 xy

xy

Format : x

R1

y

R2

D = R1 – R2

D2

3. Wrong observatioin in Regressioin equations

D2

n(xy) – xy

REGRESSION

y on x, byx

1. Equation x on y  x = a + by x = Na + bxy xy= ay + by2

__________________ 

nx2  – ( x)2 n(xy) – xy

x on y, bxy =

Equation y on x  y = a + bx y = Na + bx xy= ax + bx2

_________________ 

ny2  – ( y)2

4. To find mean values ( x, y ) of two regression equations. a 1 x + b 1 y + c1 = 0 a 2 x + b 2 y + c2 = 0

Format :

70

=

x

y

xy

x2

y2

x

y

xy

x2

y2 GENESIS / DHURUVA

GENESIS / DHURUVA

71

DEMAND ANALYSIS z=

1.

ep =

dx / dp

_________ 

=

dx

_ _ __ _ __

p

_ __ _  

(elasticity of demand)

x/p dp x Where ‘x’ is quantity and ‘p’ is price

99% = p1 - p 2 + 2.58 S.E of (p 1 - p 2) 4. Sampling of Variables:

Average quantity x / p

a. For large samples (n> 30).

ep -1

i)

_______ 

AR

S.E. Confidence limits: 95% = p1 - p 2 +1.96 S.E of (p1 - p 2)

Marginal quantity dx / dp

2. MR =

ep ds

____ 

x- µ

ii)

s/A

dA

Test of specified population mean (s.d.known) Z

3. Advertisement Elasticity of Sales : eA =

P1 - P2

0 _________ 

=

(S.E = / n )

/ n

Difference or equality of two means (s.d.known) x1 - x 2 Z = ________________  S.E

Population and Samples

S.E. ( x1 - x 2 )

1. z = Observed value - expected value

 12 +  22

=

  _____

Standard Error  Signof alternative hypothesis # > < Sign # > <

_____ 

n 1 + n2 Type ofTest Two - sided One - sided to right One - sided to left

1%

2 (1/n1 + 1/n2)

(or)

iii) S.E. of the difference between two s.d. S.E (1   2 )

=

5%

2.58 2.33 -2.33

1.96 1.645 - 1.645



2 1  ____ 

2n1

+

 22

____ 

2n2

iv) S.E. (correlation coefficient) =

1 - g2  ________ 

n b. For small samples (n < 30)

2. Sampling of Attributes. S.E. of p = pq/n Confidencelimits P +

i) 1.96 (SE of P)

Test of specifiedpopulationmean (sd known) z = x - µ0  ____________ 

Difference or Equality of two proportions.



S.E. of (p1 - p 2) = PQ (1/n1 + 1/n2) n1p1 + n2p2 P = ______________  , Q = 1 - P n1 + n 2 72

ii)

n

Difference of means (s.d known) z = x1 - x 2  _________ 

S.E GENESIS / DHURUVA

GENESIS / DHURUVA

73

C. S.E

 12

=

 _____ 

 22

(i) Test of goodness of fit

_____ 

+

n1

][2 test

Where f 0 = observed frequency;

f e =

row total x column total  ____________________________ 

Condfidence limits = x + t .025 (s1 / n - 1

Total frequency d.f. (rows - 1) x (column - 1)

iv) Difference or Equality of two sample means (s.d unknown) x1 - x 2

_ __ __ __ _  

S

n1 + n 2 2

n s +n s

S

=

PROBABILITY

n1n2

_ _ __ _ __ _ _

1. P(A)

2

1 1 2 2 _________________ 

1- g

=

3. P(AUB) =

P(A) + P(B)- P(AnB) (Not Mutually Exclusive)

4. P(AUBUC) =

. n-2

2

vi) For F test equality of two S.d. (for unknown means) n1 s 12 = _______  s 12 n1 -1

n2 -1

s22

=

_______ 

S22 74

5. P(AnB)

=

P(A) . P(B) (Independent ) P(A) . P(B/A) (Dependent)

6. P(AnBnC) =

P(A). P(B). P(C) ( Independent)

P(B) = P(AnB) + P(AnB) 8. P(AUB)= 1 - P(AnB)

S12

F

P(A) + P(B)+ P(C)

7. P(A) = P(AnB) + P(AnB)

n

2 _______ 

1 - P(A)

P(A)+ P(B)+ P(C)- P(AnB)- P(BnC)P(CnA) + P(AnBnC)

d.f = n - 2

s 22 =

P(B) = r/ n

P(A) + P(B) + 0 (Mutually Exclusive)

g ________ 

r/ n

2. P (A )

v) In case of correlation coefficient : =

=

1

n1 + n2 - 2

t

f e = expected frequency

(ii) Test of independence of attributes

d.f = n - 1.

=

(f  - f  )

2 o e  _______________ 

f e

iii) To test a specified mean (s.d is not known) x - µ0 t = _________  n-1 s

t

=

n2

d.f. = (n1 - 1) (n 2 - 1)

P(AnB) = 1 - P(AUB)

GENESIS / DHURUVA

GENESIS / DHURUVA

75

9. Mutually exclusive - P(AnB) = 0

II.

Mutually exhaustive - P(AUB) = 1 Equally likely if P(A) = P(B). 10. Variance s.d.

Simple Average of Relatives

=

E(x2) - m2 where m = E(x) =  xip i

=

E(x2) - m2

Mean = np, Variance = npq,  =

npq

_______ 

where m



=

2) Paasche's Method

np

P01 =

14. Normal Distribution z = x - µ

x 100.

p0q1 p1q0

________ 

p1q1

________ 

+

p0q0

x 100.

p0q1

2



4) Fisher'sIdeal Index µ



= =

mean Standard deviation

P01 =

Index Numbers

Unweighted

Simple Aggr ega tive

Simple A ve ra ge of Relatives

Weighted Aggregative

Weighted A ve rag e o f   of Relatives

_______ 

p1q1

________ 

x

p0q0

x 100

p0q1

p1q0 + p1q1

p

Where

x 100.

_____________________ 

x 100

p0q0 + p0q1

6) Kelly's Method P01 =

Simple Aggregative Method. 1 ______ 

p1q0

5) Marshall - Edgeworth Method Weighted

P01 =

76

_______ 

 ______________________ 

 ________ 

P01 =

p1q1

3) Dorbish and Bowley's Method

= m

x!

I.

x 100.

 p0q0

P01 =

13. Poisson Distribution

Where

x 100

p0

 p1q0 P01 =

12. Binomial Distribution

f(x)=

1 _____ 

1) Laspeyeres Method

P(Ai) P(B/Ai)

__________ 

Where P =

III. Weighted Index Number. (Aggregative)

 ____________________ 

e-mmx

p

 _______ 

N

11. Bayee Theorem - P(Ai / B) = P(A1) . P(B/A1)

f(x) = nCr  pr qn-r 

logP

P01 = antilog

p1q

_______ 

x 100

poq q

=

q0 + q 1

__________ 

2

 p0 GENESIS / DHURUVA

GENESIS / DHURUVA

77

IV. Weighted average of Relative

PV P01 =

_______ 

Where

V

P V V

= = =

Price relative Value Weights p0q0

p

P01 =

1 _____ 

x 100

p0 V. Quantity or Volume index Numbers.

p1q P01 =

_______ 

x 100

p0q

VI. Value index numbers

V

=

p1q1

_______ 

x 100

p0q0

 ______ 

78

GENESIS / DHURUVA

6

Operations Research 1. TRANSPORTATION

VOGEL’S Approximation Method (VAM)

Step 1 : Verify whether the given problem is maximisation or minimisation. If it is maximisation, convert it into minimisation by selectinglargest element and subtract the element from the other element. Step 2 : Verify whether availability = requirement. If availability < requirement, introduce a dummy row with zero if no other  information is available. If requirement < availability, introduce a dummy column if no other detail are given. Step 3 : Find out the penality for each Row and each Column where the penalty is difference between the smallest and next smallest element. Note : If there is a tie, then Penality = 0 Step 4 : Enter through the largest penalty and select the lowest cost cell. Step 5 : Check the availability with requirement corresponding to the lowest cost cell and whichever is minimum, allocate that quantity. Step 6 : Write down the balance after allocation and if the balance quantity is ‘0’. Delete that row or column or both. Step 7 : Recompute the penalty after omitting the deleted numbers for  each row and each column and repeat the procedure from step 4 till the requirements are met. Note : 1. If there is a tie in the largest penalty enter through each one of them and mark the lowest cost cell. Compare these lowest cost cells and whichever is minimum select that cell. 2. If there is a tie in the lowest cost cell also, select the cell where maximum quantity is allocated. 3. If there is a tie in the maximum quantity, select the cell where it is maximum. Step 8 : Multiply each allocation with corresponding cost and find out the total cost. Step 9 : Test for optimality using Modi’s method. Note : 1. In the case of maximisation problem after allocating by Vogel’s Approximation method transfer all the allocation to the maximisation matrix for finding out initial total value. 2. Optimality test for maximisation problem is carried out only on minimisation matrix.

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