Compound Interest (Practice Sheet)
Compound Interest (Practice Sheet)
A
anually? (c) 7% (d) 4%
8. If simple interest is Rs. 60 and compound in-
25]000 #i;s ij 3 o"kks± ds fy, 10» okf"kZd nj ls pØo`f¼
terest is Rs. 64 in 2 years at the same interest
C;kt fdruk gksxk\ rate, then find the principal amount (in Rs.).
SSC CHSL 04/08/2023 (Shift-2)
;fn leku C;kt nj ij 2 o"kZ esa lk/kj.k C;kt 60 #i, vkSj
Y
(a) Rs. 8,125 (b) Rs. 8,000
pØo`f¼ C;kt 64 #i, gS] rks ewy/u (#i, esa) Kkr dhft,A
(c) Rs. 8,200 (d) Rs. 8,275
3. The compound interest on Rs. 2,500 after 2 RRB RPF S.I. 03/12/2024 (Shift-03)
years, at a rate of 6% per annum, compounded (a) 218 (b) 220
annually, will be:
H
(c) 225 (d) 229
2]500 #i;s ij 2 o"kks± ds ckn] 6» çfr o"kZ dh nj ls okf"kZd
9. If the simple interest in 2 years at the same in-
:i ls pØo`f¼ C;kt gksus ij pØo`f¼ C;kt fdruk gksxk terest rate is Rs. 60 and compound interest is
RRB Technician G-III, 26/12/2024 (Shift-03) Rs. 62, then find the principal amount (in Rs.).
S
(a) Rs. 309 (b) Rs. 320 ;fn leku C;kt nj ij 2 o"kZ esa lk/kj.k C;kt 60 #i, vkSj
(c) Rs. 318 (d) Rs. 322 pØo`f¼ C;kt 62 #i, gS] rks ewy/u (#i, esa) Kkr dhft,A
4. Find the compound interest on Rs. 12,000 in
3 year at a rate of 10% per annum, compounded RRB RPF S.I. 09/12/2024 (Shift-02)
K
RRB Technician G-III, 26/12/2024 (Shift-03) 72, then what is the principal (in Rs.)?
(a) Rs. 9,872 (b) Rs. 3,672 ;fn leku C;kt nj ij 2 o"kZ esa lk/kj.k C;kt 56 #i, vkSj
(c) Rs. 3,772 (d) Rs. 3,972 pØo`f¼ C;kt 72 #i, gS] rks ewy/u (#i, esa) Kkr dhft,A
5. If the principal amount is Rs. 26000 then find RRB JE 16/12/2024 (Shift-03)
the total amount after 3 years at the rate of
(a) 53 (b) 42
compound interest of 10% per annum. (in Rs.)
(c) 49 (d) 44
; fn ewy/u 26000 #i, gS rks 3 o"kZ ckn 10» izfr o"kZ
11. A sum of money doubles itself at a certain rate
pØo`f¼ C;kt dh nj ij oqQy jkf'k Kkr dhft,A (#i, esa) of compound interest in 12 years when the in-
RPF Constbale 19/01/2019 (Morning) terest is compounded annually. In how many
(a) 35606 (b) 34606 more years will it become eight times of itself?
(c) 37606 (d) 36606 , d fuf'pr nj ij pØo`f¼ C;kt ds rgr ,d jkf'k 12
6. If the amount received on compound interest o"kks± esa vius vki dks nksxquk dj ysrh gS tc C;kt okf"
at the end of the first and second years on a :i ls pØo`f¼ gksrk gSA vkSj fdrus vkSj o"kks± esa ;g vi
principal amount is Rs. 1,350 and Rs. 1,458
jkf'k ls vkB xquk gks tk,xh
respectively, then what is the interest rate?
RRB Technician G-III, 30/12/2024 (Shift-02)
fdlh ewy/u ij igys vkSj nwljs lky osQ var esa pØo`f¼
(a) 24 (b) 48
C;kt ij izkIr jkf'k Øe'k% 1]350 #i, vkSj 1]458 #i,
(c) 12 (d) 36
gS] rks C;kt nj D;k gS\
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12. If a sum of money doubles itself in 10 years on Find the amount.
compound interest, then in how many more fdlh fuf'pr /ujkf'k ij nwljs o"kZ ds fy, vftZr C;kt
years will it become 16 times of itself at the
same rate of interest?
6787 #i, gS vkSj C;kt nj 10» okf"kZd gS] tks okf"kZd
:i ls pØo`f¼ gksrh gSA èkujkf'k Kkr dhft,A
;fn ,d jkf'k 10 o"kks± esa pØo`f¼ C;kt ij vius vki dks
nksxquk dj ysrh gS] rks ogh C;kt nj ij ;g fdrus vkSj RPF S.I. 03/12/2024 (Shift-01)
(a) 60805 (b) 62530
o"kks± esa viuh jkf'k ls 16 xquk gks tk,xh
RRB Technician G-III, 28/12/2024 (Shift-03)
(c) 61700 (d) 62005
(a) 10 (b) 20 18. The interest earned on a certain sum of money
for the second year is Rs. 8096 at the rate of
(c) 40 (d) 30
interest 10% per annum, compounded annually.
13. A sum becomes 8 times itself in 3 years at Find the amount.
compound interest annually. What is the interest
fdlh fuf'pr /ujkf'k ij nwljs o"kZ ds fy, vftZr C;kt
rate?
8096 #i, gS vkSj C;kt nj 10» okf"kZd gS] tks okf"kZd
,d jkf'k okf"kZd pØo`f¼ C;kt ij 3 o"kks± esa Lo;a dk 8 :i ls pØo`f¼ gksrh gSA /ujkf'k Kkr dhft,A
xquk gks tkrh gSA C;kt nj fdruh gS\ RPF S.I. 13/12/2024 (Shift-02)
RRB NTPC 05/02/2021 (Morning) (a) Rs. 74570 (b) Rs. 74550
(a) 100% (c) Rs. 73600 (d) Rs. 74495
(b) Data insufficient/MsVk vi;kZIr
A
19. If at same rate of interest, in 2 years, the simple
(c) 8% interest is 60 and compound interest is 62, then
what is the principal (in Rs.)?
(d) 5%
14. Any amount on compound interest becomes ;fn leku C;kt nj ij 2 o"kZ esa lk/kj.k C;kt 60 #i;s vkSj
pØo`f¼ C;kt 62 #i;s gS] rks ewy/u (#i;s esa) Kkr dhft,A
Y
three times the original amount in 4 years. In
how many years will it become 9 times its RPF S.I. 09/12/2024 (Shift-02)
original amount? (a) 454 (b) 450
pØo`f¼ C;kt ij dksbZ jkf'k 4 o"kks± esa ewy jkf'k dh rhu(c) 445 (d) 443
H
xquh gks tkrh gSA fdrus o"kks± esa ;g viuh ewy jkf'k dh 9
20. A sum of Rs. 400 will amount to Rs. 441 after
2 years at r% compound interest. Find the value
xquh gks tk,xh\
of r.
RPF S.I. 06/01/2019 (Afternoon)
400 #i, dh jkf'k 2 lky ckn r » okf"kZd pØo`f¼ C;kt
(a) 10 (b) 9 ij 441 #i, gks tk,xhA r dk eku Kkr dhft,A
S
(c) 7 (d) 8
RRB NTPC 07/04/2021 (Morning)
15. A sum of money invested at a certain rate of
compound interest triples itself in 10 years. In (a) 6% (b) 5%
how many years will this amount become 9 times (c) 7% (d) 8%
K
rhu o"kks± esa 1700 #i, gks tkrh gS] tks okf"kZd :i
Group D 06/10/2022 (Morning)
la;ksftr gksrh gSA C;kt nj fdruh gS\
(a) 15 years/o"kZ (b) 20 years/o"kZ
RRB NTPC 30/12/2020 (Morning)
(c) 30 years/o"kZ (d) 25 years/o"kZ
(a) 6% (b) 7%
16. Any amount on compound interest becomes
(c) 6.25% (d) 6.5%
double the original amount in 3 years. In how
many years will it become 64 times its original 22. A sum, when compounded annually, becomes Rs.
12,100 in 2 years and Rs. 13,310 in 3 years. Find
amount?
the interest rate?
pØo`f¼ C;kt ij dksbZ jkf'k 3 o"kks± esa ewy jkf'k dh nks
,d jkf'k okf"kZd pØo`f¼ gksus ij 2 o"kZ esa 12]100 #i,
xquh gks tkrh gSA fdrus o"kks± esa ;g viuh ewy jkf'k dh 64
vkSj 3 o"kZ esa 13]310 #i, gks tkrh gSA C;kt nj Kkr dhft,\
xquh gks tk,xh\
RRB NTPC 29/12/2020 (Morning)
RPF S.I. 24/12/2018 (Morning)
(a) 9% (b) 12%
(a) 16 (b) 20
(c) 8% (d) 10%
(c) 14 (d) 18 23. By calculating interest compounded annually,
17. The interest earned on a certain sum of money a sum of money becomes Rs. 625 in 3 years, and
for the second year is Rs. 6787 at the rate of Rs. 675 in 4 years at a certain interest rate.
interest 10% per annum, compounded annually. What is the annual interest rate?
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C;kt dh x.kuk okf"kZd pØo`f¼ vk/kj ij djus ij] ,d n o"kks± ds ckn 10443 #i, dh /ujkf'k çkIr gqbZ gks] rk
èkujkf'k ,d fuf'pr C;kt nj ij 3 o"kZ esa 625 #i,] vkSj n dk eku Kkr djsa
4 o"kZ esa 675 #i, gks tkrh gSA okf"kZd C;kt nj fdruh gS\ RRB RPF S.I. 13/12/2024 (Shift-02)
Level-5 12/06/2022 (Shift-1) (a) 1.6 (b) 3
(c) 2 (d) 2.79
(a) 8% (b) 4%
28. Sakshi invested a sum of Rs. 8400 at 5% per
(c) 7% (d) 6%
annum compound interest, componded annu-
24. A sum of Rs. 400 becomes Rs. 484 in 2 years at ally. If she received an amount of Rs. 9261 af-
compound intere st, inte rest compounded
ter n years, the value of n is:
annually. What is the interest rate per annum?
lk{kh us okf"kZd :i ls pØo`f¼] 5» okf"kZd pØo`f¼ C;kt
400 #i, dh jkf'k pØo`f¼ C;kt ij 2 o"kks± esa 484 #i, ij 8400 #i, dh /ujkf'k dk fuos'k fd;kA ;fn mls n
gks tkrh gS] C;kt okf"kZd :i ls la;ksftr gksrk gSA izfr o"kZo"kks± ds ckn 9261 #i, dh /ujkf'k çkIr gqbZ gks]
n dkrks
C;kt nj D;k gS\
eku Kkr djsa
Level 3 14/06/2022 (Shift-2)
RRB RPF S.I. 13/12/2024 (Shift-03)
(a) 10% (b) 16% (a) 2.59 (b) 3
(c) 11% (d) 12% (c) 1 (d) 2
25. Some sum becomes Rs. 6,400 in 2 years and Rs. 29. In how many years will a sum of Rs. 12,000 be-
8,100 in 4 years at compound interest. Find the come Rs. 14,520 at a rate of 10% per annum on
A
rate of compound interest. compound interest, compounded annually?
oqQN jkf'k pØo`f¼ C;kt ij 2 lky esa 6]400 #i, vkSj 4 fdrus o"kks± esa 12]000 #i;s dh jkf'k 10» çfr o"kZ dh nj
lky esa 8]100 #i, gks tkrh gSA pØo`f¼ C;kt dh nj Kkr ij pØo`f¼ C;kt ds rgr] tks okf"kZd :i ls pØo`f¼
dhft,A gksrh gS] 14]520 #i;s cu tk,xh
Y
RRB NTPC 04/02/2021 (Morning) RRB Technician G-III, 29/12/2024 (Shift-01)
(a) 14.5% (b) 10.5% (a) 5 (b) 4
(c) 12.5% (d) 16.5% (c) 2 (d) 3
26.
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The table given below shows the profit earned 1
by five friends in four different years. Study the 30. If a sum amounts to 2times the sum after 2
4
table carefully to answer the following question. years son a certain rate of compound interest,
uhps nh xbZ rkfydk esa pkj vyx&vyx o"kks± esa ik¡p nksLrksa
compounded annually, then the rate of inter-
}kjk vftZr ykHk dks n'kkZ;k x;k gSA fuEufyf[kr iz'u dk est per annum is:
S
mÙkj nsus osQ fy, rkfydk dk è;kuiwoZd vè;;u dhft,A ;fn ,d jkf'k 2 o"kks± ckn ,d fuf'pr nj ij pØo`f¼
Friends 2020 2021 2022 2023 1
C;kt osQ rgr 2 xquk gks tkrh gS] tks okf"kZd :i ls
Alex 9310 7250 6523 3546 4
K
Balaji 8240 7500 6542 2563 pØo`f¼ gksrh gS] rks izfr o"kZ C;kt dh nj D;k gksxh
RRB ALP Tier-01, 28/11/2024 (Shift-03)
Chand 7560 6540 5140 2580
(a) 30% (b) 50%
Dinesh 3524 6000 6780 3870
(c) 25% (d) 40%
LA
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32. A c erta in sum was invested at 4 0% p .a. (a) Rs. 82360 (b) Rs. 81440
compound interest for two year and the interest (c) Rs. 65000 (d) Rs. 71650
was compounded annually. If the interest was
37. A cert ain sum comp ounded a nnua lly at
compounded half yearly, the amount payable on
compound interest becomes Rs. 56,180 after 2
maturity after two years would have been Rs.
years and Rs. 59,550.80 after 3 years. Find the
4,544 more. What was the sum invested?
amount (in Rs.)?
,d fuf'pr /ujkf'k 40» okf"kZd pØo`f¼ C;kt dh nj pØo`f¼ C;kt ij ,d fuf'pr jkf'k 2 o"kZ osQ ckn okf"kZd
ij nks o"kZ osQ fy, fuosf'kr dh xbZ Fkh vkSj ml ij C;kt :i ls la;ksftr gksus ij 56]180 #i, vkSj 3 o"kks± osQ ckn
dh x.kuk okf"kZd pØo`¼ vk/kj ij dh xbZ FkhA ;fn C;kt 59]550-80 #i, gks tkrh gSA jkf'k Kkr dhft, (#i, esa)\
dh x.kuk v¼Z&okf"kZd pØo`f¼ vk/kj ij dh xbZ gksrh] rks
Level-6 09/05/2022 (Shift-1)
nks o"kZ osQ ckn ifjiDork ij ns; /ujkf'k 4]544 #i,
(a) Rs. 48,700 (b) Rs. 50,000
vfèkd gksrhA fuos'k dh xbZ /ujkf'k fdruh Fkh\
(c) Rs. 52,500 (d) Rs. 45,000
Level-5 12/06/2022 (Shift-2)
38. Find the total amount compounded annually on
(a) Rs. 37,500 (b) Rs. 42,000 Rs. 4500 at 12% per annum for 2 years and 8
(c) Rs. 42,500 (d) Rs. 40,000 months?
33. Rs. 3,903 is divided between A and B, so that 4500 #i, ij 12» izfr o"kZ ij 2 lky vkSj 8 eghus
A's share at the end of 7 years will be equla to
B's share at the end of 9 years, with interest
lkykuk pØo`f¼ C;kt ij la;ksftr gksus okyh oqQy jkf'k
A
being compounded annually at the rate of 4% Kkr dhft,\
per annum. the share of A is: RRB NTPC 16/02/2021 (Evening)
3]903 #i, dks A vkSj B osQ chp bl izdkj foHkkftr fd;k (a) Rs. 6,069.38 (b) Rs. 6,096.38
tkrk gS fd 7 o"kZ osQ varA esa dk fgLlk 9 o"kZ osQ var esa (c) Rs. 6,095.95 (d) Rs. 6,097.28
Y
B osQ fgLls osQ cjkcj gks tk,xk] ftlesa C;kt 4» izfr o"kZ
39. A certain principal amount becomes 25 times
A dk fgLlk gS%
dh nj ls okf"kZd :i ls la;ksftr gksxkA in 5 years at the rate of compound interest and
this original principal becomes 36 times in 7
Group D 20/09/2022 (Morning)
years. So find the interest rate?
H
(a) Rs. 1,828 (b) Rs. 1,875
dksbZ ewy/u pØo`f¼ C;kt dh nj ij 5 o"kks± esa 25 xq.k
(c) Rs. 2,028 (d) Rs. 2,075
gks tkrk gSa vkSj ;g ewy ewy/u 7 o"kks± esa 36 xq.kk g
34. If the rate of interest is 20% per annum and
the interest is compounded half yearly, the
gSaA rks C;kt nj Kkr djksa\
(a) 20% (b) 50%
S
amount of Rs. 4000 in 3/2 years will be:
;fn C;kt dh nj 20» izfro"kZ gS vkSj C;kt v/Zokf"kZd (c) 25% (d) 12.5%
40. A certain principal amount becomes 8 times in
:i ls la;ksftr fd;k tkrk gS] rks 3@2 o"kks± esa 4000 #i, 2 years at the rate of compound interest and
dh jkf'k gksxh%
K
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43. A principal amounts to Rs. 800 in 10 years and (a) 50% (b) 25%
Rs. 1000 in 15 years at compound interest rate. (c) 20% (d) 10%
So find the principal amount. 47. What is the rate of compound interest per
dksbZ ewy/u pØo`f¼ C;kt nj ls 10 o"kks± esa 800 #i, vkSj annum, if a sum becomes 25/16 time in 2 years?
15 o"kks± esa 1000 #i, gks tkrk gSaA rks ewy/u Kkr djsaA dksbZ ewy/u pØo`f¼ C;kt dh nj ij 2 o"kks± esa 25@1
(a) 612 (b) 512 xq.kk gks tkrk gSa] rks C;kt dh nj fdruh jgh gksxh\
(c) 712 (d) 812 (a) 50% (b) 25%
44. A sum of Rs. 250000 was deposited for 3 years (c) 20% (d) 10%
at 4%, 5% and 6% compounded annually for the
48. What is the rate of compound interest per
first, second and third year respectively. What
annum, if a sum becomes 27/8 time in 3 years?
will the amount be at the end of three years?
250000 #i, dh jkf'k dks] Øe'k% 4»] 5» vkSj 6» ij dksbZ ewy/u pØo`f¼ C;kt dh nj ij 3 o"kks± esa 27@
igys] nwljs vkSj rhljs o"kZ osQ fy, lkykuk la;ksftr djrs xq.kk gks tkrk gSa] rks C;kt dh nj fdruh jgh gksxh\
gq, 3 lky osQ fy, tek fd;k x;kA rhu o"kks± osQ var esa (a) 50% (b) 25%
jkf'k fdruh gks tk,xh\ (c) 20% (d) 10%
49. In how much time will a sum of Rs. 1000 become
(a) Rs. 256,590 (b) Rs. 301,400 Rs. 1331 at the rate of 10% compound interest
(c) Rs. 325,680 (d) Rs. 289,380 per annum?
A
45. What will be the amount payable on Rs. 25,000
in 2 years when the interest rates in successive
fdrus le; esa 1000 #i, dh jkf'k 10» okf"kZd pØo`f¼
years are 12% and 10% per annum respectively C;kt dh nj ij 1331 #i, gks tk,xh\
(interest is compounded annually)? RRB JE 27/06/2019 (Morning)
2 o"kks± esa 25]000 #i, ij ns; jkf'k D;k gksxh tc Øfed (a) 4 years/o"kZ (b) 3 years/o"kZ
Y
o"kks± esa C;kt nj Øe'k% 12» vkSj 10» izfr o"kZ gS (C;kt(c) 2 years/o"kZ (d) 5 years/o"kZ
okf"kZd :i ls pØo`f¼ gS)\ 50. In how many years will Rs. 40000 amounts to
SSC GD 08/02/2023 (Shift-03) Rs. 46656 at the rate of 8% compound interest
H per annum?
(a) Rs. 30,800 (b) Rs. 33,800
8» okf"kZd pØo`f¼ C;kt dh nj ls fdrus o"kks± esa 4000
(c) Rs. 28,000 (d) Rs. 27,800
46. What is the rate of compound interest per
#i;s dh jkf'k 46656 #i;s gks tk,xh\
SSC CHSL 02/08/2023 (Shift-3)
annum, if a sum becomes 9/4 time in 2 years?
S
dksbZ ewy/u pØo`f¼ C;kt dh nj ij 2 o"kks± esa 9@4 xq.kk(a) 5 (b) 2
(c) 4 (d) 3
gks tkrk gSa] rks C;kt dh nj fdruh jgh gksxh\
K
LA
Answer-Key
1. (b) 2. (d) 3. (a) 4. (d) 5. (b) 6. (b) 7. (b) 8. (c) 9. (b) 10. (c)
11. (a) 12. (d) 13. (a) 14. (d) 15. (d) 16. (d) 17. (c) 18. (c) 19. (b) 20. (b)
21. (c) 22. (d) 23. (a) 24. (a) 25. (c) 26. (c) 27. (c) 28. (d) 29. (c) 30. (b)
31. (c) 32. (d) 33. (c) 34. (c) 35. (b) 36. (b) 37. (b) 38. (b) 39. (a) 40. (b)
41. (d) 42. (a) 43. (b) 44. (d) 45. (a) 46. (a) 47. (b) 48. (a) 49. (b) 50. (b)
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