The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find the simple interest on the same sum at the same rate for the same time. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find the simple interest on the same sum at the same rate for the same time.
A. Rs. 405
B. Rs. 390
C. Rs. 415
D. Rs. 400
Answer: Option D
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 410 => 1% of sum = 40. Simple Interest = 10% of sum = 10 * 40 = Rs. 400.

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Practice More Compound Interest Questions

Question #1
A sum of money at compound interest becomes 7 times in 3 years. In how many years will it become 49 times?
A. 5 years
B. 6 years
C. 9 years
D. 4 years

Correct Answer: Option B


Explanation:
49 = 7², so 3 × 2 = 6 years.

This question belongs to: Maths Compound Interest
Question #2
What will be the compound interest on Rs. 7500 at 4% per annum for 2 years?
A. Rs. 608
B. Rs. 624
C. Rs. 616
D. Rs. 612

Correct Answer: Option D


Explanation:
A = 7500 × (1.04)² = 7500 × 1.0816 = 8112, CI = 8112 − 7500 = Rs. 612.

This question belongs to: Maths Compound Interest
Question #3
A sum of money placed at compound interest becomes double of itself in 7 years. In how many years will it become 16 times of itself?
A. 28 years
B. 21 years
C. 35 years
D. 42 years

Correct Answer: Option A


Explanation:
The sum becomes 2^1 times in 7 years. It will become 16 (2^4) times in 4 * 7 = 28 years.

This question belongs to: Maths Compound Interest