A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. Find the rate of interest per annum. MCQ with Answer and Explanation

A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. Find the rate of interest per annum.
A. 6.5%
B. 5%
C. 6%
D. 6.25%
Answer: Option D
Solution (By JKSSB Mock Tests)
Interest for the 3rd year = 4913 - 4624 = Rs. 289. Rate of interest = (289 / 4624) * 100 = 0.0625 * 100 = 6.25%.

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Practice More Compound Interest Questions

Question #1
Find the compound interest on Rs. 31250 for 3 years at 8% per annum, compounded annually.
A. Rs. 8076
B. Rs. 7500
C. Rs. 7824
D. Rs. 8000

Correct Answer: Option C


Explanation:
Amount = 31250 * (1 + 8/100)^3 = 31250 * (27/25)^3 = 31250 * (19683 / 15625) = 2 * 19683 = Rs. 39366. Compound Interest = 39366 - 31250 = Rs. 8076. Correct option is D.

This question belongs to: Maths Compound Interest
Question #2
At what rate percent per annum will Rs. 40000 amount to Rs. 48400 in 2 years, compound interest compounded annually?
A. 8%
B. 12%
C. 14%
D. 10%

Correct Answer: Option D


Explanation:
Amount/Principal = 48400 / 40000 = 121 / 100 = (11 / 10)^2. Therefore, 1 + R/100 = 11/10 => R/100 = 1/10 => R = 10%.

This question belongs to: Maths Compound Interest
Question #3
At what rate percent compound interest will Rs. 2700 amount to Rs. 3267 in 2 years?
A. 10%
B. 12%
C. 15%
D. 8%

Correct Answer: Option A


Explanation:
2700(1+r)² = 3267 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest