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. 21 years
B. 28 years
C. 18 years
D. 14 years
Answer: Option A
Solution (By JKSSB Mock Tests)
27 = 3³, so 7 × 3 = 21 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. 3400
B. Rs. 3328
C. Rs. 3200
D. Rs. 3500

Correct Answer: Option B


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 invested at compound interest doubles itself in 4 years. In how many years will it become 16 times itself?
A. 20 years
B. 12 years
C. 16 years
D. 24 years

Correct Answer: Option C


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

This question belongs to: Maths Compound Interest
Question #3
If the compound interest on a sum for 2 years at 5% is Rs. 307.50, the simple interest on the same sum for 2 years at 5% is:
A. Rs. 280
B. Rs. 300
C. Rs. 310
D. Rs. 290

Correct Answer: Option B


Explanation:
CI = P × 0.1025 = 307.50 ⇒ P = 3000. SI = 3000 × 5 × 2 / 100 = Rs. 300.

This question belongs to: Maths Compound Interest