Compound Interest Questions with solution for Competitive Exams. Important and repeated questions from the previous year SSC CGL, CHSL, CPO, JE and GD Exams. Very useful for upcoming NRA CET, UPSSSC UP PET, IBPS Bank PO and Clerks examinations.
Formula of Compound Interest
Compound Interest =
Total Accumulated Amount =
P= Principal Amount
r = Rate of Interest
n = compound frequency per year
t = time (in year)
Compound Interest Questions for Competitive Exams
Q.1: The compound interest on ₹ 12000 for 9 months at 20% per annum, interest being compounded quarterly is :
a) ₹ 1750
b) ₹ 2089.70
c) ₹ 1891.50
d) ₹ 2136.40
Show Answer
Rate of Interest => Yearly = 20, Quarterly = 20/4 = 5%
Time => 9 months = 3 quarter
Compound Interest =
=
Q.2: In what time will ₹ 64000 amount to ₹ 68,921 at 5% per annum, interest being compounded half yearly?
a) 3 years
b) 2 year 6 months
c) 2 years
d) 1 year 6 months
Show Answer
Rate of Interest 2.5% per half year
=> t = 3 half years = 1 year 6 months
Q.3: The principal that yields a compound interest of ₹ 420 during the second year at 5% per annum is :
a) ₹ 7000
b) ₹ 5000
c) ₹ 8000
d) ₹ 6000
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Q.4: The compound interest on a sum of money for 2 years is ₹ 615 and the simple interest for the same period is ₹ 600. Find the principal.
a) ₹ 6500
b) ₹ 6000
c) ₹ 8000
d) ₹ 9500
Show Answer
Simple Interest for one year = 300
Interest on ₹ 300 = 615-600 = ₹ 15
Rate =
Simple Interest =
=> P = ₹ 6000
Q.5: ₹ 800 at 5% per annum compounded annually will amount to ₹ 882 in how many years:
a) 1 year
b) 2 year
c) 3 year
d) 4 year
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=>
=> t = 2 years
Q.6: A man saves ₹ 2000 at the end of each year and invests the money at 5% compound interest. At the end of 3 years he will have :
a) ₹ 4305
b) ₹ 6305
c) ₹ 4205
d) ₹ 2205
Show Answer
Amount =
At the end of 3 year 4305 + 2000 (Saving of 3rd year = 6325
Q.7: If the rate of interest be 4% per annum for first year, 5% per annum for second year and 6% per annum for third year, then the compound interest of ₹ 10000 for 3 years will be :
a) ₹ 1600
b) ₹ 1625.80
c) ₹ 1575.20
d) ₹ 2000
Show Answer
A =
=
Q.8: The compound interest on ₹ 8000 at 15% per annum for 2 years 4 months, when compounded annually is :
a) ₹ 2980
b) ₹ 3091
c) ₹ 3109
d) ₹ 3100
Show Answer
Compound Interest = 11109 – 8000 = ₹ 3109
Based on Both Compound and Simple Interest
Q.9: A certain amount of money earns ₹ 540 as simple interest in 3 years. If it earns a compound interest of ₹ 376.20 at the same rate of interest in 2 years, find the amount (in ₹).
a) 1600
b) 1800
c) 2000
d) 2100
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Solution:
3 Year Simple Interest = 549
1 year Simple Interest =₹180
2 year Simple Interest = 360
Compound Interest for 2 years =376.20
Difference = 16.20
₹16.20 is Interest on Simple Interest of First year (i.e. 180)
Rate =
Principal =
Q.10: There is 100% increase to an amount in 8 years, at simple interest. Find the compound interest of ₹ 8000 after 2 years at the same rate of interest.
a) ₹ 2500
b) ₹ 2000
c) ₹ 2250
d) ₹ 2125
Show Answer
Solutions :
Rate =
Compound Interest =
=
Q.11: The compound interest on a certain sum of money invested for 2 years at 5% per annum is ₹ 328. The simple interest on the sum, at the same rate and for the same period will be:
a) ₹ 320
b) ₹ 308
c) ₹ 300
d) ₹ 287
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Solution:
=>
P = ₹3200
Simple Interest =
Q.12: The compound interest on a certain sum for two successive years are 225 and ₹ 238.50. The rate of interest per annum is :
a) 7.5%
b) 5%
c) 10%
d) 6%
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Solution: Simple Interest on ₹ 225 for 1 year = 238.50 – 225 = 13.50
Rate =
Difference between Compound and Simple Interest
Q.13: The difference between the simple and compound interest on a certain sum of money for 2 years at 4% per annum is ₹ 4. The sum is :
a) ₹ 2500
b) ₹ 2400
c) ₹ 2600
d) ₹ 2000
Show Answer
t= 2 years, r = 4% per annum
Difference in CI and SI = ₹ 4 = Sum
Sum = ₹ 2500
Q.14: The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is ₹ 122. The sum is :
a) ₹ 16000
b) ₹ 15000
c) ₹ 12000
d) ₹ 10000
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Solution :
Difference = Sum
Sum =
Q.15: The difference between simple and compound interest (compounded annually) on a sum of money for 2 years at 10% per annum is ₹ 65. The sum is :
a) ₹ 65650
b) ₹ 6565
c) ₹ 65065
d) ₹ 6500
Show Answer
Solutions :
Difference for two years= Sum
65 = Sum
Sum =
If the Amount Becomes n Times of the Sum After t Years at Compound Interest
Q.16: A sum of money placed at compound interest doubles itself in 5 years. In how many years, it would amount to eight times of itself at the same rate of interest ?
a) 10 years
b) 15 years
c) 7 years
d) 20 years
Show Answer
2 times in 5 years
4 times in 10 years
8 times in 15 years
Q.17: A sum of money becomes 1.331 times in 3 years as compound interest. The rate of interest is:
a) 8%
b) 7.5%
c) 10%
d) 50%
Show Answer
Solutions :
Let Principal = 1000, Amount = 1331
100 +r = 110, => r =10%
Installments : Compound Interest Questions for Competitive Exams
Q.18: A sum of ₹ 210 was taken as a loan. This is to be paid back in two equal instalments. If the rate of interest be 10% compounded annually, then the value of each instalment is :
a) ₹ 127
b) ₹ 121
c) ₹ 210
d) ₹ 225
Show Answer
Solution:
=>
=>
=>
Q.19: A sum of money is paid back in two annual instalments of `17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :
a) ₹ 32800
b) ₹ 32200
c) ₹ 32000
d) ₹ 32400
Show Answer
Solution :
Sum Borrowed =
Thanks for attempt Compound Interest Questions for Competitive Exams
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