Compound Interest problems
- 1. A man borrowed some money and agreed to pay-off by paying Rs 3150 at the end of the 1st year and Rs 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is
Options- A. Rs 5000
- B. Rs 6500
- C. Rs 7000
- D. Rs 9200 Discuss
Correct Answer: Rs 7000
- 2. Rs 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is
Options- A. 125000
- B. 135200
- C. 152000
- D. 108200 Discuss
Correct Answer: 135200
- 3. If the compound interest for the 3rd and 4th year on a certain principal is Rs 125 and Rs 135 respectively, what is the rate of interest (in %)?
Options- A. 9
- B. 10
- C. 8
- D. 12 Discuss
Correct Answer: 8
- 4. What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 25,000 at 20% per annum compounded semi-annually and annually?
Options- A. 125
- B. 250
- C. 500
- D. 375 Discuss
Correct Answer: 250
- 5. Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
Options- A. 2109
- B. 3109
- C. 4109
- D. 6109 Also asked in: Bank Exams, Bank PO
Correct Answer: 3109
Explanation:
Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]
=Rs. [8000 * (23/20) * (23/20) * (21/20)]
= Rs. 11109. .
:. C.I. = Rs. (11109 - 8000) = Rs. 3109.
- 6. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is
Options- A. 10000
- B. 20000
- C. 40000
- D. 50000 Also asked in: Bank Exams, Bank PO
Correct Answer: 20000
Explanation:
Let sum=Rs.x
C.I. when compounded half yearly =
C.I. when compounded annually =
=> x=20000
- 8. A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Options- A. 4360
- B. 4460
- C. 4560
- D. 4660 Also asked in: Bank Exams, Bank PO
Correct Answer: 4460
Explanation:
Let the sum be Rs.P.then
P(1+R/100)^3=6690?(i) and P(1+R/100)^6=10035?(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.
- 9. The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly
Options- A. Rs.24.64
- B. Rs.21.85
- C. Rs.16
- D. Rs.16.80 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.24.64
Explanation:
For 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = = Rs.2500
Amount for 2 years, compounded half-yearly
C.I = Rs.424.64
Also,
Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64
- 10. Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Options- A. 524.32
- B. 624.32
- C. 724.32
- D. 824.32 Also asked in: Bank Exams, Bank PO
Correct Answer: 824.32
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