Ejercicios

 

SL@_C]Z@AFA AC ZFL JF]DKZ AC GSFQCEFDF OFJSDQFA AC J@CLJ@FZ CJKLKE@JFZ CZJSCDF AC FSA@QK]@F JS]ZK AC JKLQFM@D@AFA @@@ R]@EC] ZCECZQ]C =266

JKLQFM@D@AFA AC F]]CLAFE@CLQKZ O@LFLJ@C]KZ DFMK]FQK]@K # 6 Df jkepföåf jkepföåf QVE, Z.F. (Frrclafakrf (Frrclafakrf)) y df jkepföåf jkepföåf EZIC, Z.F. (Frrclaftfr`f) (Frrclaftfr`f) o`refl o`refl ul jkltrftk jkltrftk ac frrclafe`cltk jkl ocjhf 26 ac clcrk ac =,220, a`jhk jkltrftk cst`pudf quc df jkepföåf frrclafakrf, rcltfræ cqu`pks ac Iucgks Cdcjtrúl`jks f df jkepföåf frrclaftfr`f f pfrt`r ac 26 ac clcrk ac =,220, cd e`sek jklt`clc dfs s`gu`cltcs cst`pudfj`klcs y tàre`lks9 6) Cd jkltrftk jkltrftk ac frrclafe` frrclafe`clt cltk k t`clc ulf aurfj`úl aurfj`úl ac j`ljk föks, föks, cd jkltrf jkltrftk tk lk cs jfljcdfmdc jfljcdfmdc y cx`gc pfgks ac rcltf flufdcs `gufdcs pkr vfdkr ac V. :8,07=.1: fd jke`clzk ac jfaf fök. =) Fd jkeclzfr jkeclzfr cd frrclafe`cltk, frrclafe`cltk, cd cqu`pk cqu`pk t`clc ul vfdkr vfdkr iustk ac V. 632,222.2 632,222.22 2 ulf v`af ùt`d ùt`d cst`efaf cl j`ljk föks y l`lgùl vfdkr rcs`aufd. :) Df jkepföåf jkepföåf Frrclaftfr`f, Frrclaftfr`f, pfgfræ pfgfræ tkaks dks dks jkstks cicjutkr`ks cicjutkr`ks (scgurks (scgurks y efltcl`e`cltk) efltcl`e`cltk) pkr pkr ul vfdkr  ac V. :,222.22 dks jufdcs cstæl `ljdu`aks cl dks pfgks flufdcs. 1) Cd jkltrftk jkltrftk lk jklt`clc jklt`clc kpj`klcs kpj`klcs ac rclkvfj`ú rclkvfj`úl, l, lk jklt`clc jklt`clc kpj`úl kpj`úl f jkeprf jkeprf ac pfgk fd tcre`lfr tcre`lfr cd pdfzk acd frrclafe`cltk. 3) Df jkepföåf jkepföåf Frrclaft Frrclaftfr`f fr`f acprcj`f acprcj`f ktrks ktrks cqu`pks cqu`pks s`e`dfrcs s`e`dfrcs ac su prkp`cafa prkp`cafa pkr cd eàtkak eàtkak ac dålcf rcjtf. ?) Df jkepföåf jkepföåf Frrclafakrf, Frrclafakrf, o`if df rcltf flufd flufd ac eflcrf quc gfrflt`jc gfrflt`jc ulf tfsf tfsf ac rcla`e`cltk rcla`e`cltk acd 62% 62% flufd skmrc su `lvcrs`úl. Cstc hcjhk cs jklkj`ak f df jkepföåf frrclaftfr`f. 7) Df `lvcrs`úl `lvcrs`úl mrutf cs ac V. 670,88= 670,88=.63 .63 (j`ljk rcltfs rcltfs flufdcs ac ac V. :3,07=.1: :3,07=.1: jfaf ulf ulf cxjduyclak cxjduyclak dks jkstks cicjutkr`ks efs cd vfdkr rcs`aufd lk gfrflt`zfak quc cs jcrk (2). 8) Cd `lgrcsk `lgrcsk pkr `ltcrcsc `ltcrcscs s lk acvclg acvclgfak faks s cs ac V. =0,8?= =0,8?=.63 .63 (df `lvcrs`úl `lvcrs`úl mrutf cs ac V. 670,88= 670,88=.63 .63 eclks V. 632,222.22 Df suef ac dks vfdkrcs fjtufdcs ac dfs rcltfs y cd vfdkr rcs`aufd) 0) Cd prcj`k prcj`k ac vcltf vcltf cs ac V. 632,22 632,222.22 2.22 (_fdkr (_fdkr fjtufd fjtufd ac dfs dfs rcltfs). rcltfs). 62) Cd jkstk ac dks cqu`pk vcla`aks cs ac V. 6=7,322.2 6=7,322.22 2 (Cd jkstk ac dks fjt`vks pfrf cd frrclafakr lk hfy vfdkr rcs`aufd).

Zc R`ac9 f. Cdfmkrf Cdfmkrfrr cd jufark jufark ac fekrt`z fekrt`zfj`ú fj`úl l acd Frrclaf Frrclafe`cl e`cltk. tk. m. ]cfd`zfr tkafs tkafs dfs pfrt`afs pfrt`afs jkrrcspkla`cltc jkrrcspkla`cltcs s fd frrclafe`c frrclafe`cltk, ltk, acsac acsac cd pultk ac v`stf acd frrclafakr frrclafakr y acd frrclaftfr`k.

 

SL@_C]Z@AFA AC ZFL JF]DKZ AC GSFQCEFDF OFJSDQFA AC J@CLJ@FZ CJKLKE@JFZ CZJSCDF AC FSA@QK]@F JS]ZK AC JKLQFM@D@AFA @@@ R]@EC] ZCECZQ]C =266

JKLQFM@D@AFA AC F]]CLAFE@CLQKZ DFMK]FQK]@K # = Df jkepf jkepföå öåf f CDCJ CDCJQ]K Q]KQKA QKAK, K, Z.F. Z.F. (Frrcl (Frrclaf afak akrf) rf) y df jk jkepf epföåf öåf ZKDAF ZKDAFAS] AS]F F ZCGS] ZCGS]F, F, Z.F. Z.F. (Frrclaftfr`f) o`refl ul jkltrftk ac frrclafe`cltk jkl ocjhf 26 ac clcrk ac =,220, a`jhk jkltrftk cst`pudf quc quc df jkepf jkepföåf öåf frrcl frrclaf afak akrf, rf, rcltfr rcltfræ æ cqu`p cqu`pks ks ac skdaf skdafau aurf rf cdàjtr cdàjtr`jf `jf y fu futú túgc gclf lf f df jkepf jkepföåf öåf frrclaftfr`f f pfrt`r acd ocjhf ac o`ref ac jkltrftk, cd e`sek jklt`clc dfs s`gu`cltcs cst`pudfj`klcs y tàre`lks9 6) Cd jkltrftk ac ac frrclafe`cltk frrclafe`cltk t`clc ulf ulf aurfj`úl ac ac 3 föks> cd jkltrftk jkltrftk lk cs jfljcdfmdc jfljcdfmdc y cx`gc cx`gc pfgks ac rcltf flufdcs `gufdcs pkr vfdkr ac V. =3,086.?= fd jke`clzk ac jfaf fök. =) Fd jkeclzfr jkeclzfr cd frrclafe`cltk, frrclafe`cltk, cd cqu`pk cqu`pk t`clc ul vfdkr vfdkr iustk ac V. 622,222.2 622,222.22 2 ulf v`af ùt`d ùt`d cst`efaf cl 3 föks y l`lgùl vfdkr rcs`aufd. :) Df jkepföåf jkepföåf Frrclaftfr`f, Frrclaftfr`f, pfgfræ pfgfræ tkaks tkaks dks jkstks cicjutkr`ks cicjutkr`ks ac scgurks scgurks y efltcl`e`cltk efltcl`e`cltk pkr pkr ul vfdkr  ac V. =,222.22 flufdcs, dks jufdcs cstæl `ljdu`aks cl dks pfgks flufdcs. 1) Cd jkltrftk jkltrftk lk jklt`clc jklt`clc kpj`klcs kpj`klcs ac rclkvfj`ú rclkvfj`úl, l, pcrk s` kpj`úl f jkeprf acd cqu`pk cqu`pk pkr df jkepföåf jkepföåf  Frrclaftfr`f  Frrclaf tfr`f fd tcre`lfr tcre`lfr cd pdfzk pdfzk acd frrclafe`clt frrclafe`cltk. k. 3) Df jkepföåf jkepföåf Frrclaftfr`f Frrclaftfr`f acprcj`f acprcj`f ktrk cqu`pk cqu`pk s`e`dfr ac su prkp`cafa prkp`cafa pk pkrr cd eàtkak ac dålcf dålcf rcjtf. ?) Lk sc `ljurr`ú `ljurr`ú cl jkstks jkstks a`rcjtks a`rcjtks `l`j`fdcs fd lcgkj`fr lcgkj`fr y jcrrfr df kpcrfj`úl kpcrfj`úl acd frrclafe`cltk frrclafe`cltk.. 7) Df pks`m pks`m`d` `d`af afa a ac jkmrfr jkmrfr cstæ gfrfl gfrflt`z t`zfa faf f rfzkl rfzklfm fmdce dcecl cltc tc y df jkepf jkepföå öåf f lk `ljurr `ljurr`ræ `ræ cl jkstks jkstks fa`j`klfdcs. 8) Df jkepföåf jkepföåf Frrclafakrf, Frrclafakrf, o`if df rcltf flufd flufd ac eflcrf quc gfrflt`jc gfrflt`jc ulf tfsf tfsf ac rcla`e`cltk rcla`e`cltk acd 62% 62% flufd skmrc su `lvcrs`úl. Cstc hcjhk cs jklkj`ak pkr df jkepföåf frrclaftfr`f. 0) ]cfd`zfr dfs pfrt`afs pfrt`afs jkrrcspkla`c jkrrcspkla`cltcs ltcs fd frrclafe`cltk frrclafe`cltk aurfltc aurfltc dks aks pr`ecrks föks, föks, acsac acsac cd pultk ac v`stf acd frrclaftfr`k y tfem`àl acd frrclafakr. @lokrefj`úl fa`j`klfd9 







Df `lvcrs`úl mrutf cs ac V. 660,028.62 660,028.62 (j`ljk rcltfs flufdcs ac V. =:,086.?= jfaf ulf cxjduyclak dks jkstks cicjutkr`ks efs cd vfdkr rcs`aufd lk gfrflt`zfak quc cs jcrk (2). Cd `lgrcsk pkr `ltcrcscs lk acvclgfaks skl ac V. 60,028.62 (df `lvcrs`úl mrutf cs ac V. 660,028.62 eclks V. 622,222.22 Df suef ac dks vfdkrcs fjtufdcs ac dfs rcltfs y cd vfdkr rcs`aufd) Cd prcj`k ac vcltf cs ac V. 622,222.22 (_fdkr fjtufd ac dfs rcltfs). Cd jkstk ac dks cqu`pk vcla`aks cs ac V. 83,222.22.

 

SL@_C]Z@AFA AC ZFL JF]DKZ AC GSFQCEFDF OFJSDQFA AC J@CLJ@FZ CJKLKE@JFZ CZJSCDF AC FSA@QK]@F JS]ZK AC JKLQFM@D@AFA @@@ R]@EC] ZCECZQ]C =266

JKLQFM@D@AFA AC F]]CLAFE@CLQKZ O@LFLJ@C]KZ CIC]J@J@K # 6 R]KM R] KMDC DCEF EF # 6

(Qce (Qcef f ac ac Frr Frrcl claf afe` e`cl cltk tk Kpcrf Kpcrfj` j`kl klfd fd))

Df jkepföåf M@CLCZ @LESCMDCZ Z.F. prkp`ctfr`f ac ul dkjfd pfrf vcltfs, susjr`mc ul jkltrftk ac frrclafe`cltk jkl df ceprcsf EKAFZ Z.F. pkr ul pcråkak ac j`ljk föks, pkr ul vfdkr  eclsufd ac V. :,222.22 pfrf cd pr`ecr fök (Clcrk f A`j`cemrc ac =,228) y ul fuecltk acd 62% fd `l`j`fr jfaf ulk ac dks s`gu`cltcs föks. Zc p` p`ac ac99 ]cg` ]cg`st strf rfrr dfs dfs pfrt pfrt`a `afs fs fluf flufdc dcs s quc quc acmc acmc jkrr jkrrcr cr jfaf jfaf fök fök cd Frrc Frrcla lafl fltc tc y Frrclaftfr`k. R]KM R] KMDC DCEF EF # =

(Qce (Qcef f Frr Frrcl claf afe` e`cl cltk tk ac Jfp` Jfp`tf tfd) d)

Df jkepföåf ZR@AC]EFL jkl Z.F.ocjhf (Frrclafakrf) y df ac jkepföåf MFQEFL, Z.F.cst`pudf (Frrclaftfr`f) o`refl ul jkltrftk ac frrclafe`cltk 26 ac clcrk =,220, a`jhk jkltrftk quc df jkepföåf frrclafakrf, rcltfræ cqu`pk f df jkepföåf frrclaftfr`f f pfrt`r ac 26 ac clcrk ac =,220, cd e`sek jklt`clc dfs s`gu`cltcs cst`pudfj`klcs y tàre`lks9 6) Cd jkltrftk ac ac frrclafe`cltk frrclafe`cltk t`clc ulf ulf aurfj`úl ac ac 3 föks> cd jkltrftk jkltrftk lk cs ]clkvfmdc ]clkvfmdc y cx`gc cx`gc pfgks ac rcltf flufdcs `gufdcs pkr vfdkr ac V. 6=,002.86 fd jke`clzk ac jfaf fök. =) Fd jkeclzfr jkeclzfr cd frrclafe`cltk, frrclafe`cltk, cd cqu`pk cqu`pk t`clc ul vfdkr vfdkr iustk ac V. 32,222.2 32,222.22 2 ulf v`af ùt`d ùt`d cst`efaf cl 3 föks y l`lgùl vfdkr rcs`aufd. :) Df jkepföåf jkepföåf Frrclaftfr`f, Frrclaftfr`f, pfgfræ pfgfræ tkaks dks dks jkstks cicjutkr`ks cicjutkr`ks (scgurks (scgurks y efltcl`e`cltk) efltcl`e`cltk) pkr pkr ul vfdkr  ac V. 6,222.22 dks jufdcs cstæl `ljdu`aks cl dks pfgks flufdcs. 1) frrclaftfr`f Cd jkltrftk jkltrftk lkfdjklt`clc jklt`c lc kpj`klcs kpj`k lcsacd ac frrclafe`cltk. rclkvfj`ú rclkvfj`úl, l, pcrk s` kpj`úl ac jkeprf jkeprf acd cqu`pk pkr df jkepföåf jkepföåf tcre`lfr cd pdfzk 3) Df Jåf. Frrclaftfr`f Frrclaftfr`f acprcj`f acprcj`f ktrk cqu`pk cqu`pk s`e`dfr ac su prkp`cafa prkp`cafa pkr pkr cd eàtkak eàtkak ac dålcf dålcf rcjtf. ?) Df Jåf. Frrclafakrf, Frrclafakrf, o`if o`if df rcltf flufd flufd ac eflcrf quc quc gfrflt`jc gfrflt`jc ulf tfsf ac ac rcla`e`cltk rcla`e`cltk acd 62% flufd flufd skmrc su `lvcrs`úl. Cstc hcjhk cs `lokrefak f df jkepföåf frrclaftfr`f.

Zc R`ac9

j. ]cfd`zf ]cfd`zfrr dfs pfrt`afs pfrt`afs jkrrcspkl jkrrcspkla`c a`cltcs ltcs fd frrclafe`c frrclafe`cltk, ltk, acsac acsac cd pultk pultk ac v`stf v`stf acd frrclaf frrclaftfr`k tfr`k y pultk ac v`stf acd frrclafakr.

 

SL@_C]Z@AFA AC ZFL JF]DKZ AC GSFQCEFDF OFJSDQFA AC J@CLJ@FZ CJKLKE@JFZ CZJSCDF AC FSA@QK]@F JS]ZK AC JKLQFM@D@AFA @@@ R]@EC] ZCECZQ]C =266 JKLQFM@D@AFA AC F]]CLAFE@CLQKZ O@LFLJ@C]KZ CIC]J@J@K # = Df jkepföåf OKQKDFM Z.F. (Frrclafakrf) y df jkepföåf L@Q@AFZ Z.F. (Frrclaftfr`f) o`refl ul jkltrftk ac frrclafe`cltk jkl ocjhf 26 ac clcrk ac =,220, a`jhk jkltrftk cst`pudf quc df jkepföåf frrclafakrf, rcltfræ cqu`pk ac oktkjkp`fak f df jkepföåf frrclaftfr`f f pfrt`r ac 26 ac clcrk ac =,220, cd e`sek jklt`clc dfs s`gu`cltcs cst`pudfj`klcs y tàre`lks9 6) Cd jkltrftk ac ac frrclafe`cltk frrclafe`cltk t`clc ulf ulf aurfj`úl ac ac 3 föks> cd jkltrftk jkltrftk lk cs ]clkvfmdc ]clkvfmdc y cx`gc cx`gc pfgks ac rcltf flufdcs `gufdcs pkr vfdkr ac V. 18,763.31 fd jke`clzk ac jfaf fök. =) Fd jkeclzfr jkeclzfr cd frrclafe`cltk, frrclafe`cltk, cd cqu`pk cqu`pk t`clc ul vfdkr vfdkr iustk ac V. 687,322.2 687,322.22 2 ulf v`af ùt`d ùt`d cst`efaf cl 3 föks y l`lgùl vfdkr rcs`aufd. :) Df jkepföåf jkepföåf Frrclaftfr`f, Frrclaftfr`f, pfgfræ pfgfræ tkaks dks dks jkstks cicjutkr`ks cicjutkr`ks (scgurks (scgurks y efltcl`e`cltk) efltcl`e`cltk) pkr pkr ul vfdkr  ac V. :,732.22 dks jufdcs cstæl `ljdu`aks cl dks pfgks flufdcs. 1) Cd jkltrftk jkltrftk lk jklt`clc jklt`clc kpj`klcs kpj`klcs ac rclkvfj`úl, rclkvfj`úl, pcrk s` kpj`úl kpj`úl ac jkeprf, jkeprf, pkr vfdkr vfdkr ac V. 7,322.22 7,322.22 ac pfgk fd tcre`lfr cd pdfzk acd frrclafe`cltk. 3) Df Jåf. Frrclaftfr`f Frrclaftfr`f acprcj`f acprcj`f ktrks cqu`pks cqu`pks s`e`dfrcs s`e`dfrcs ac su prkp`cafa prkp`cafa pkr cd eàtkak eàtkak ac dålcf dålcf rcjtf. ?) Df Jåf. Frrclafakrf, Frrclafakrf, o`if o`if df rcltf flufd flufd ac eflcrf quc quc gfrflt`jc gfrflt`jc ulf tfsf ac ac rcla`e`cltk rcla`e`cltk acd 62% flufd flufd skmrc su `lvcrs`úl. Cstc hcjhk cs `lokrefak f df jkepföåf frrclaftfr`f. 7) Df `lvcrs`úl `lvcrs`úl mrutf cs ac V. ==1,8=7 ==1,8=7.?= .?= (j`ljk rcltfs rcltfs flufdcs ac ac V. 11,0?3.31 11,0?3.31 jfaf ulf ulf cxjduyclak cxjduyclak dks jkstks cicjutkr`ks efs cd vfdkr rcs`aufd lk gfrflt`zfak quc cs jcrk (2). 8) Cd `lgrcsk `lgrcsk pkr `ltcrcsc `ltcrcscs s lk acvclg acvclgfak faks s cs ac V. :7,:=7 :7,:=7.?0 .?0 (df `lvcrs`úl `lvcrs`úl mrutf cs ac V. ==1,8=7 ==1,8=7.?0 .?0 eclks V. 687,322.22 Df suef ac dks vfdkrcs fjtufdcs ac dfs rcltfs y cd vfdkr rcs`aufd) 0) Lk sc `ljurr`ú `ljurr`ú cl jkstks jkstks a`rcjtks a`rcjtks `l`j`fdcs fd lcgkj`fr lcgkj`fr y jcrrfr df kpcrfj`úl kpcrfj`úl acd frrclafe`cltk frrclafe`cltk.. 62) 62) Df pks`m pks`m`d` `d`af afa a ac jkmrfr jkmrfr cstæ cstæ gfrfl gfrflt`z t`zfa faf f rfzkl rfzklfm fmdce dcecl cltc tc y df jkepf jkepföå öåf f lk `ljurr `ljurr`ræ `ræ cl jkstks jkstks fa`j`klfdcs. 66) Fd o`lfd`zfr cd frrclaftfr`k, acj`ac jkeprfr cd cqu`pk hfj`clak cd pfgk o`ifak pfrf df kpj`úl ac jkeprf.

Zc R`ac9 a. Cdfmkrf Cdfmkrfrr cd jufark jufark ac fekrt`z fekrt`zfj`ú fj`úl l acd Frrclaf Frrclafe`cl e`cltk. tk. c. ]cfd`zfr dfs pfrt`afs pfrt`afs jkrrcspkla`c jkrrcspkla`cltcs ltcs fd frrclafe`cltk frrclafe`cltk aurfltc aurfltc dks aks pr`ecrks föks, föks, acsac acsac cd pultk ac v`stf acd frrclaftfr`k y pultk ac v`stf acd frrclafakr. o.

]cfd`zf ]cfd`zfrr dfs pfrt`afs pfrt`afs rcspc rcspcjtk jtk f df cicjuj cicjuj`úl `úl ac df vcltf vcltf pkr pkr df kpj`úl kpj`úl ac jkeprf jkeprf..