A sum of money at compound interest triples in 7 years. In how many years will it become 27 times? MCQ with Answer and Explanation

A sum of money at compound interest triples in 7 years. In how many years will it become 27 times?
A. 28 years
B. 14 years
C. 18 years
D. 21 years
Answer: Option D
Solution (By JKExamLibrary)
27 = 3³, so 7 × 3 = 21 years.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
A. 12 years
B. 9 years
C. 6 years
D. 8 years

Correct Answer: Option C


Explanation:
The sum becomes 3 times in 3 years. It will become 3^2 = 9 times in 2 * 3 = 6 years.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 420. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 380
B. Rs. 390
C. Rs. 410
D. Rs. 400

Correct Answer: Option D


Explanation:
For 2 years at 10%, effective compound interest rate is 10 + 10 + (1010)/100 = 21%. Effective simple interest rate is 10 * 2 = 20%. Given 21% of sum = 420, then 1% of sum = 20. Simple Interest = 20% of sum = 20 * 20 = Rs. 400.

This question belongs to: Maths Compound Interest
Question #3 Report Error
A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 64 times?
A. 6 years
B. 9 years
C. 4 years
D. 5 years

Correct Answer: Option A


Explanation:
8 times in 3 years, 64 = 8² ⇒ 3 × 2 = 6 years.

This question belongs to: Maths Compound Interest