The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 441. 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 10% per annum is Rs. 441. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 435
B. Rs. 410
C. Rs. 420
D. Rs. 430
Answer: Option C
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 10% = 10 + 10 + (1010)/100 = 21%. Simple interest rate = 10 * 2 = 20%. Given 21% of sum = 441 => 1% of sum = 21. Simple Interest = 20% of sum = 20 * 21 = Rs. 420.

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Practice More Compound Interest Questions

Question #1
A sum of money amounts to Rs. 6655 in 3 years and Rs. 7320.50 in 4 years at compound interest. The sum is:
A. Rs. 6000
B. Rs. 6500
C. Rs. 5500
D. Rs. 5000

Correct Answer: Option D


Explanation:
Rate = (7320.50/6655 − 1) × 100 = 10%. P = 6655 / (1.1)³ = 6655 / 1.331 = 5000.

This question belongs to: Maths Compound Interest
Question #2
The effective rate of interest for 5% per annum compounded half-yearly is:
A. 5.0625%
B. 5.05%
C. 5.10%
D. 5.12%

Correct Answer: Option A


Explanation:
Effective rate = (1.025)² − 1 = 1.050625 − 1 = 5.0625%.

This question belongs to: Maths Compound Interest
Question #3
What is the effective annual rate of interest corresponding to a nominal rate of 6% per annum compounded half-yearly?
A. 6.12%
B. 6.09%
C. 6.15%
D. 6.06%

Correct Answer: Option B


Explanation:
Effective rate = (1 + 0.03)² − 1 = 1.0609 − 1 = 0.0609 = 6.09%.

This question belongs to: Maths Compound Interest