The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. What would be 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 of money for 2 years at 5% per annum is Rs. 410. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 390
B. Rs. 405
C. Rs. 400
D. Rs. 408
Answer: Option C
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
The compound interest on Rs. 9500 at 8% per annum for 2 years is:
A. Rs. 1580.80
B. Rs. 1576
C. Rs. 1588
D. Rs. 1595

Correct Answer: Option A


Explanation:
A = 9500 × (1.08)² = 9500 × 1.1664 = 11080.80, CI = 11080.80 − 9500 = Rs. 1580.80.

This question belongs to: Maths Compound Interest
Question #2
The compound interest on Rs. 20000 at 8% per annum for 1 year compounded half-yearly is:
A. Rs. 1600
B. Rs. 1632
C. Rs. 1680
D. Rs. 1664

Correct Answer: Option B


Explanation:
Half-yearly rate 4%, n=2. A = 20000 × (1.04)² = 20000 × 1.0816 = 21632, CI = 21632 − 20000 = Rs. 1632.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on Rs. 1500 at 6% per annum for 2 years is:
A. Rs. 183.60
B. Rs. 180
C. Rs. 190.80
D. Rs. 185.40

Correct Answer: Option D


Explanation:
A = 1500 × (1.06)² = 1500 × 1.1236 = 1685.40, CI = 1685.40 − 1500 = Rs. 185.40.

This question belongs to: Maths Compound Interest