Monday, September 3, 2012

Financial Math for b.b.a



1)      18% mij my‡` 25,000 UvKvi 12 erm‡ii my‡`i cwigvb I my`vmj wbb©q Ki| Dt 54,000 79,000
2)     10 erm‡i †Kvb Avmj 15% evwl©K mij my‡` †gvU 12,000 UvKv n‡j Avm‡ji cwigvb KZ ?Dt 48,00
3)     10% evwl©K mij my‡` †Kvb Avmj KZ eQ‡i my‡` Avm‡j wZb ¸b n‡e|D t 20 eQi
4)     Pµe„w× my‡`i nvi 12% n‡j KZ UvKv 10 eQ‡i 50,000 UvKv n‡e| my` eQ‡i 4 evi †`q| Dt15327.84
5)     12,520 UvKv 8% evwl©K Pµe„w× my‡` 6 eQ‡i KZ n‡e |my` eQ‡i 2 evi †`q| Dt 20,044.92
6)     Pµe„w× my‡`i nvi 15% n‡j †Kvb wbw`©ó Avmj KZ erm‡i (K) wظb n‡e (L) wZb ¸b n‡e (M) Pvi ¸b n‡e ? Dt 4.96 eQi, 7.86 eQi,9.92 eQi.
7)     GK e¨w³ e¨sK †_‡K 18,000 UvKv avi K‡i 4 ermi  c‡i 22,500 UvKv cwi‡lva K‡i | Zvi my‡`i nvi wbb©q Ki| D t 5.74%
8)     6,950 UvKvi 3 erm‡ii Pµe„w× my` KZ n‡e hw` Aa© evwl©K nv‡i my` cÖ`vb Kiv nq, hvi g‡a¨ 1g `yB  erm‡ii my‡`i nvi 6% Ges 3q erm‡ii my‡`i nvi 9% | Dt 1592.14
9)     8% Pµe„w× my‡` 2 ermi c‡i †`q 10,000 UvKvi eZ©gvb g~‡j¨ wbb©q Ki , hw` (K) my` erm‡i  †`q  (L) my` Qq gv‡m †`q / `yB evi †`q| Dt8,573,8,548
10) GKwU Kw¤úDUv‡ii µqg~j¨ 60,000 UvKv Ges Avqy¯‹vj 10 eQi| hw` n«mK…Z g~‡j¨i Dci 12% nv‡i AePq avh© Kiv nq,  Zn‡j Kw¤úDUv‡ii fMœve‡kl g~j¨ KZ ? D t 16,710.06
11)  GKwU †gwkb Ggb fv‡e AewPZ nq †h, †gwkbwUi g~j¨ †h †Kvb eQi †k‡l H eQ‡ii cÖiw¤¢K g~‡j¨i 90% _v‡K| hw` †gwk‡bi µqg~j¨ 24,000 UvKv Ges fMœve‡kl g~j¨ 400 UvKv nq, Z‡e †gwkbwUi Avqy¯‹vj wbb©q Ki|D t 17 eQi
12)  GK e¨w³ 1991 mv‡ji †k‡l 100 UvKv , 1992 mv‡ji †k‡l 200 UvKv,1993 mv‡ji †k‡l 300 UvKv, 1994 mv‡ji †k‡l 400 UvKv Ges 1995 mv‡ji †k‡l 500 UvKv wewb‡qvM K‡ib | mKj †¶‡Î Pµe„w× my‡`i nvi 5% n‡j 1996 mv‡ji †k‡l wewb‡qvMKzZ g~ja‡bi cwigvb KZ n‡e ?        D t 1684.017
13) GK e¨w³ 15% evwl©K my‡` cÖwZgv‡m 500 UvKv e¨s‡K Rgv iv‡Lb | 10 eQi ci RgvK…Z A‡_©i cwigvb KZ n‡e ? wKw¯— gv‡mi cÖ_‡g cÖ`vb Kiv nq|
14)  GKwU †gwk†bi  µqg~j¨ 95,000 UvKv Ges Dnvi Avqy¯‹vj 12 eQi| hw` fMœve‡kl g~j¨ 5,000 UvKv nq , Zvn‡j cÖwZ eQi jv‡fi †_‡K KZ UvKv 9% Pµ e„w× my‡` †Kvb Znwe‡j Rgv w`‡j †gwkbwU cybt ¯’vcb Kiv hv‡e ? D t 4468.56
15) GKwU †Kv¤úvwb 1,00,000 UvKv g~‡j¨i m¤úwZ 25 eQ‡i cÖwZ¯’vc‡bi Rb¨ GKwU AePq Znwej MVb Ki‡Z Pvq| hw` my‡`i nvi 3% nq Zvn‡j gybdv n‡Z wK cwigv‡bi A_© cÖwZ eQi mÂvq Ki‡Z n‡i ? D t 2742.79
16)  GKwU †gwk‡bi µqg~j¨  97,000 UvKv | †gwkbwU AKv‡Rv nevi ci hš¿s‡ki g~j¨ wnmv‡e 2,000 UvKv cvIqv hv‡e | GKwU bZzb †gwkb µq Kivi Rb¨ gybdv n‡Z evwl©K 5% Pµe„w× my‡` 5,960 UvKv K‡i Rgv K‡i GKwU GKwU Znwej MVb K‡i | †gwkbwUi Avqy¯‹vj wbb©q Ki| D t 12
17) GKRb e¨w³ GKwU myBwgs cyj wbg©v‡bi Rb¨ e¨vsK †_‡K 11,500 UvKv Fb †bq Ges Acwi‡kvwaZ A‡_© Dci gvwmK 1.5% nv‡i my` cÖ`vb K‡i 60 wU wKw¯—‡Z A_© cwi‡kva K‡i | Zvi wKw¯—i cwigvb KZ ? my‡`i cwigvb KZ ? D t 6021.47, 292.024  
18) GKRb e¨w³ 12% nv‡i evwl©K mgvb wKw¯—‡Z cwi‡kva mv‡c‡¶ GKwU evwbwR¨K e¨sK †_‡K 2,00,000 UvKv 5 eQ‡ii Rb¨ Fb †bq |hw` wKw¯— Fb MÖn‡bi w`b †_‡K ïi“ nq, Zvn‡j evwl©K wKw¯—i cwigvb KZ ?D t 49,537.45
19)  GKRb e¨emvqx 20,000 UvKv Fb MÖnb K‡ib | 10% Pµe„w× my‡` cwi‡kva Kivi Pzw³ Kij| KZ mgq ci wZwb my`mg‡Z 5,1874.85 UvKv cÖ`vb K‡ib| D t 20 eQi
20) GKRb †jvK 20,000 UvKv 4% nv‡i avi Ki‡jv Ges ermi †k‡l 10 wU wKw¯—‡Z g~jab I my‡`i UvKv cwi‡kva Kivi Pzw³ Kij| evwl©K wKw¯—i cwigvb  KZ ? D t 2,465.82
21)  GKRb e¨w³ 60 eQi eq‡m Aemvi MÖnb Kivq Zvi gvwjK Zv‡K Aa© evwl©K wKw¯—‡Z evKx Rxe‡bi Rb¨ evrmwiK 12,000 UvKv wnmv‡e Aemvi fvZv cÖ`vb Kivi wm×vš— †bb| a‡i †bIqv n‡”Q Zvi cÖZ¨wkZ Rxeb Kvj AviI 13 eQi n‡e|Aa© evwl©K nv‡i cÖ`Ë my‡`i nvi 4% n‡j H e¨w³i Aemvi fvZvi eZ©gvb g~j¨ KZ ? D t 1,20,726.215
22) GKRb †jvK 6% my‡` 6,000 UvKv avi MÖnb K‡i Ges cÖwZãv K‡i †h †m 20 ermwiK wKw¯—‡Z D³ avi cwi‡kva Ki‡e , hvi wKw¯— 1g eQ‡ii †k‡l ïi“ n‡e |evrmwiK wKw¯—i cwigvb KZ ?D t 523.12
23) 5wU mgvb evwl©K wKw¯—‡Z cwi‡kv‡ai mv‡c‡¶ GKe¨w³ e¨vsK †_‡K 10,000 UvKv Fb MÖnb K‡i | my‡`i nvi 6% n‡j  Ges wKw¯— eQ‡ii †k‡l cÖ`Ë n‡j  cÖwZ wKw¯—i cwigvb KZ ? GKwU Fb cwi‡kv‡ai ZvwjKv cÖ¯‘Z Ki| D t 2373.96
24) GK e¨w³ evwl©K 15% my‡` 80,000 UvKv †Kvb e¨vsK †_‡K Fb MÖnb K‡ib | hw` eQ‡ii cÖviw¤¢K 4 wU wKw¯—†Z Fb cwi‡kva †hvM¨ nq Zvn‡j GKwU Fb cwi‡kv‡ai ZvwjKv ˆZwi Ki| D t24,366
25) GK e¨w³ M„n wbg©v‡bi Rb¨ evsjv‡`k nDR wewìs dvBb¨vÝ K‡cv©‡ikb †_‡K 10,00,000 UvKv Fb MÖnb K‡ib Ges 20 eQ‡i cwi‡kva Kivi Pzw³ K‡ib | evwl©K my‡`i nvi 12% n‡j (K) evwl©K (L) Aa© evwl©K Ges (M) gvwmK wKw¯—i cwigvb KZ n‡e ? Dt133878.78,6646.54,11010.86
26) GK e¨w³ 40,000 UvKvq GKwU evwo GB k‡Z© µq Ki‡jb  †h, wZwb 10,000 UvKv bM` w`‡eb Ges µ‡qi w`b †n‡Z GK eQi c‡i cÖ_g wKw¯— mn 10 wU mgvb evwl©K wKw¯—‡Z Aewkwó UvKv cwi‡kva Ki‡eb | evwl©K 5% Pµe„w× my‡`i nvi n‡j cÖ‡Z¨K wKw¯—i cwigvb wbb©q Ki| D t 3885.14
27)  GK e¨w³ 1000 UvKv avi K‡i Ges evrmwiK wKw¯— eve` 100 UvKv K‡i D³ avi cwi‡kva K‡i| evwl©K my‡`i nvi 4% n‡j KZ eQi ci H e¨w³ Fb gy³ n‡e| D t 13.02
28) ‡Kvb cÖKí †_‡K bM` Avš— t cÖev‡ni cwigvb wbb¥i“ct
cÖ_g eQ‡ii †k‡l 6000 UvKv
wØZxq ÔÔ      Ó     4000 Ó
Z…Zxq Ó      Ó      9000 Ó
PZz_©   Ó      Ó      7000 Ó
cÂg  Ó       Ó      5000 Ó
Pµe„w× my‡`i nvi evwl©K 10% n‡j Avš— t cÖev‡ni eZ©gvb g~j¨ KZ ? D t 26,713.65
29) GKRb †jvK evwl©K 350 UvKv nv‡i cyi®‹vi †`Iqvi D‡Ï‡k¨ GKwU Znwej MVb Ki‡Z Pvq | Znwej wU hw` 7% my‡` wewb‡qvwRZ _v‡K Z‡e ZnwejwUi cwigvb wbb©q Ki| D t 5000
30)hw` 1000 UvKv 5 eQ‡ii Rb¨ 4% nv‡i ˆÎgvwmK Pµe„w× my‡` wewb‡qvM Kiv nq, Z‡e Kvh©Kvix my‡`i nvi KZ ? D t 8.24%
31)  A machine is valued at tk.49,074 and it is decided to reduce the estimated value at the end of each year by 15 percent of the value at the beginning of the year . When will the value be tk.20,000 . Ans : 5.52
32)  Taking a loan of tk.9,000 from a bank, a man was not able to pay it till the end of 4 years .Then the bank demanded tk.11,250 from him. How much percent compounded yearly on the demanded money he was paid ? i=5.74%
33)If the compound interest rate is 8% .T Then find the amount to compounded interest on tk.6,280 for one year seven months . The interest is payable two times in a year . Ans : tk.828
34) A company intends to create a depreciation fund to replace at the end of 25th year assets costing tk.1,00,000 calculate the amount to be retained out of the profit every year if the interest rate is 3%. Ans: tk.2742.78
35)A man borrows tk.20,000 at 4% compounded interest and agrees to pay both the principal and interest in 10 equal instalments at the end  of each year . Find the amount of each instalment. Ans : tk.2466
36) In what time will a sum of tk.1,234 amount to tk.5,678 at 8% per annum. compound interest , payable quarterly. Ans: 19.33
37)Mr. Amin wishes to accumulate tk.5,00,000 by 3 years from now in order to purchase a new tk.3,00,000 car how much does he need to invest at the end of each of the next 3 years ,assuming the rate of interest of 12% compounded annually ? Ans : 7,11,476
38)  Mr.Mamun wishes to accumulate tk.30,000 by 4 years from in order to purchase a new coloured T.V .How much does he need to invest at the end of each of next 4 years , assuming the rate of interest of 12% compounded annually ? Ans: 6,277   
39)   A father wants to manage to tk.25,000 for his sons collage education .His sons enters into the collage at the age of 15 years . If the bank pays 12% interest which is compounded four time in a years , how much amount he has to deposit in bank now ? Ans: 4242
40)  What will be the amount after 15 years if  tk.2,000 paid at the end of each year at 4% compounded interest ? What will be the amount paid at the beginning of each year  ?
41)  A company has to pay tk.93,000 to purchase a machine . It is estimated that the expectation of life of the machine is 12 years . If scrape value is tk.3,000 how much amount should be retained out of each years profit at 9% compounded interest rate ? Ans : 4468.55
42)  If compounded interest rate is 10% What amount will be tk.50,000 for 5 years ? Interest is payable four times in a years . Ans:30,513.48
43)  A man retired at the age of 57 years and gets a pension of tk.1,000 in each month . If pension is payable 6 months intervel. What will be the accumulated amount if he does not withdraw any sum for next 15 years ? interest rate is 4%.
     44)GKRb e¨w³ g„Zz¨Kv‡j Zvi wZb †Q‡ji Rb¨ 18,000 UvKv evwl©K 6% Pµe„w× nvi my‡` e¨vs‡K Mw”QZ †i‡L hvb Zvi †Q‡ji cÖ‡Z¨‡K 25 eQi c~b© n‡j G UvKvi my` Avmj †_‡K mgcwigvb UvKv cvq | H e¨w³i g„Zz¨Kv‡j cÖ_g †Q‡ji eqm 15 eQi , wØZxq †Q‡ji eqm 12 eQi Ges Z…Zxq †Q‡ji eqm 9 eQi n‡j G‡KK Rb KZ UvKv cv‡e ? D t 12,668.21
Þ    45) A man takes  a loan tk.9,000 and can not pay any amount within 4 years . Then bank claims for tk.11,250 .What is the rate of compounded interest bank charges ? Ans:5.74%
Þ    46) A man took a loan of tk.500 and paid it % per annum compounded semi annually .
Þ     Ans:
Þ     within two years by six equal installments . If 15% interest is charged on unpaid balance, What was its installment price ? Ans:98.51
Þ    47) A man wishes to create a endoment fund to provide an annual prize of tk.500. If the fund is invested at 10% per annum compounded interest which is compounded interest which is compounded half yearly . Find the amount of this fund. Ans:10,000
Þ    48) GK Rb  e¨emvqx 400 UvKv avi K‡iwQj Ges †m PviwU mgvb wKw¯—‡Z cwi‡kva Kij | Acwi‡kvwaZ g~ja‡bi Dci my‡`i nvi 12% n‡j gvwmK wKw¯—i cwigvb KZ wQj ? D t 102.51
Þ    49) Now tk.1,500 is an a saving bank account and interest is continuning interest two times in a year at 2.5% compounded interest .How many times before there was tk.750. Ans:27.87
Þ    50) If  compounded rate of interest is 8% what will be the interest of tk.6,200 for one year and five months ? Ans:713
Þ    51) Cost of a factory building is tk.3,00,000. If rate of depreciation of building is 3% and present valuation is tk.60,000 .How many years ago the machine was installed ? Ans:52.95
Þ    52) dvwinv 10,00,000 UvKv gy‡j¨i GKwU †gvUi Mvwo µq K‡i | kZ© nj dvwinv bM` 1,00,000 UvKv w`‡q evwK A_© evwl©K 10% Pµe„w× nvi my‡` 15 eQ‡i mgvb wKw¯—‡Z cwi‡kva Ki‡e | eQ‡i Zv‡K KZ UvKv w`‡Z  n‡e ? D t 1,18,326
Þ    53) Mr. Alam takes a loan of tk.20,000 from a lender and can not  pay any amount , Then lender claims for tk.26,500 to Mr. Alam . What is the rate of compounded interest lender charged ? Ans: 7.29%
Þ    54) A wagon is purchased on instalment basis . Such that tk.5,000 is to paid on the saving at the contract and four yearly instalments of tk.3,000 each payable at the end of the first , second, third, and fourth year. It interest is charged at 5% p.a. What would be the cash down price ? Ans:15,638
Þ    55) The cost of a machine is tk.97,000. The scrap value of the machine is tk.2,000 tk.5,960 is deposited in an account to accumulate at compounded interest at 5% per year to purchase a new machine . Find the life time of the machine. Ans:12.01
56) A man wishes to borrow tk.30,000 for two year .Which of the following loan should be take; (a) 5.05% simple interest rate  (b) 5

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