A sum of money placed at compound interest becomes three times of itself in 4 years. In how many years will it become 27 times of itself? MCQ with Answer and Explanation

A sum of money placed at compound interest becomes three times of itself in 4 years. In how many years will it become 27 times of itself?
A. 12 years
B. 16 years
C. 20 years
D. 8 years
Answer: Option A
Solution (By JKSSB Mock Tests)
The sum becomes 3^1 times in 4 years. It will become 27 (3^3) times in 3 * 4 = 12 years.

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Practice More Compound Interest Questions

Question #1
What is the compound interest on Rs. 20000 for 1 year at 16% per annum, compounded half-yearly?
A. Rs. 3328
B. Rs. 3200
C. Rs. 3400
D. Rs. 3500

Correct Answer: Option A


Explanation:
Half-yearly rate = 16/2 = 8%. Time = 2 half-years. Amount = 20000 * (1 + 8/100)^2 = 20000 * 1.1664 = Rs. 23328. Compound Interest = 23328 - 20000 = Rs. 3328.

This question belongs to: Maths Compound Interest
Question #2
A sum of money doubles itself in 8 years at compound interest. In how many years will it become four times of itself?
A. 20 years
B. 16 years
C. 12 years
D. 24 years

Correct Answer: Option B


Explanation:
The sum doubles (2^1) in 8 years. It will become 4 (2^2) times in 2 * 8 = 16 years.

This question belongs to: Maths Compound Interest
Question #3
A sum of money at compound interest becomes 8 times in 3 years. The rate of interest is:
A. 80%
B. 50%
C. 120%
D. 100%

Correct Answer: Option D


Explanation:
(1+r)³ = 8 ⇒ 1+r = 2 ⇒ r = 100%.

This question belongs to: Maths Compound Interest