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. 408
B. Rs. 400
C. Rs. 405
D. Rs. 390
Answer: Option B
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money placed at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself?
A. 10 years
B. 20 years
C. 15 years
D. 25 years

Correct Answer: Option C


Explanation:
A sum becomes 2 times in 5 years. It will become 4 (2^2) times in 2 * 5 = 10 years. It will become 8 (2^3) times in 3 * 5 = 15 years.

This question belongs to: Maths Compound Interest
Question #2 Report Error
At what rate percent per annum will Rs. 8000 amount to Rs. 8820 in 2 years, compound interest compounded annually?
A. 8%
B. 5%
C. 4%
D. 6%

Correct Answer: Option B


Explanation:
Amount/Principal = 8820 / 8000 = 882 / 800 = 441 / 400 = (21 / 20)^2. Therefore, 1 + R/100 = 21/20 => R/100 = 1/20 => R = 5%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
What is the compound interest on Rs. 10000 for 1 year at 12% per annum, compounded half-yearly?
A. Rs. 1300
B. Rs. 1200
C. Rs. 1250
D. Rs. 1236

Correct Answer: Option D


Explanation:
Half-yearly rate = 12/2 = 6%. Time = 2 half-years. Amount = 10000 * (1 + 6/100)^2 = 10000 * 1.1236 = Rs. 11236. Compound Interest = 11236 - 10000 = Rs. 1236.

This question belongs to: Maths Compound Interest