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. 410
B. Rs. 420
C. Rs. 435
D. Rs. 430
Answer: Option B
Solution (By JKExamLibrary)
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
At what rate percent per annum will Rs. 10000 amount to Rs. 12100 in 2 years, compound interest compounded annually?
A. 12%
B. 10%
C. 8%
D. 14%

Correct Answer: Option B


Explanation:
Amount/Principal = 12100 / 10000 = (11 / 10)^2. Therefore, 1 + R/100 = 11/10 => R/100 = 1/10 => R = 10%.

This question belongs to: Maths Compound Interest
Question #2
At what rate percent compound interest will Rs. 6400 amount to Rs. 7744 in 2 years?
A. 9%
B. 8%
C. 12%
D. 10%

Correct Answer: Option D


Explanation:
6400(1+r)² = 7744 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum of money for 2 years at 8% per annum is Rs. 832. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 820
B. Rs. 800
C. Rs. 810
D. Rs. 780

Correct Answer: Option B


Explanation:
Effective rate of compound interest for 2 years at 8% = 8 + 8 + (88)/100 = 16.64%. Simple interest rate = 8 * 2 = 16%. Given 16.64% of sum = 832 => 1% of sum = 50. Simple Interest = 16% of sum = 16 * 50 = Rs. 800.

This question belongs to: Maths Compound Interest