The compound interest on a certain sum for 2 years is Rs. 615 and the simple interest for the same period is Rs. 600. Find the rate of interest per annum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years is Rs. 615 and the simple interest for the same period is Rs. 600. Find the rate of interest per annum.
A. 8%
B. 6%
C. 4%
D. 5%
Answer: Option D
Solution (By JKSSB Mock Tests)
Simple Interest for 1 year = 600 / 2 = Rs. 300. The difference between compound and simple interest is the interest on the first year's interest = 615 - 600 = Rs. 15. Rate of interest = (15 / 300) * 100 = 5%.

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Practice More Compound Interest Questions

Question #1
The difference between compound interest and simple interest on a sum for 2 years at 5% per annum is Rs. 25. The sum is:
A. Rs. 8000
B. Rs. 12000
C. Rs. 10000
D. Rs. 15000

Correct Answer: Option C


Explanation:
Difference = P × (r/100)² ⇒ 25 = P × 0.0025 ⇒ P = 10000.

This question belongs to: Maths Compound Interest
Question #2
What sum of money will amount to Rs. 5290 in 2 years at 15% per annum compound interest compounded annually?
A. Rs. 4000
B. Rs. 4200
C. Rs. 3800
D. Rs. 4400

Correct Answer: Option A


Explanation:
Amount = P * (1 + 15/100)^2 => 5290 = P * (1.15)^2 => 5290 = P * 1.3225 => P = 5290 / 1.3225 = Rs. 4000.

This question belongs to: Maths Compound Interest
Question #3
A sum of money at compound interest doubles in 12 years. In how many years will it become 64 times?
A. 48 years
B. 84 years
C. 60 years
D. 72 years

Correct Answer: Option D


Explanation:
64 = 2⁶, so 12 × 6 = 72 years.

This question belongs to: Maths Compound Interest