A sum of money at compound interest becomes 3 times in 6 years. In how many years will it become 27 times? MCQ with Answer and Explanation

A sum of money at compound interest becomes 3 times in 6 years. In how many years will it become 27 times?

A. 24 years

B. 12 years

C. 15 years

D. 18 years

Answer: Option D

3³ = 27, so 6 × 3 = 18 years.

This question belongs to: Maths Compound Interest

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Question #1 Report Error

The compound interest on a sum for 2 years at 4% is Rs. 408. The sum is:

A. Rs. 5200

B. Rs. 4800

C. Rs. 5400

D. Rs. 5000

Correct Answer: Option D

Explanation:
CI = P[(1.04)² − 1] = P × 0.0816 = 408 ⇒ P = 5000.

This question belongs to: Maths Compound Interest

Question #2 Report Error

The difference between CI and SI on Rs. 8000 for 2 years at 5% per annum is:

A. Rs. 20

B. Rs. 18

C. Rs. 16

D. Rs. 22

Correct Answer: Option A

Explanation:
Difference = P × (R/100)² = 8000 × 0.0025 = Rs. 20.

This question belongs to: Maths Compound Interest

Question #3 Report Error

A sum of money at compound interest becomes 2.25 times in 2 years. In how many years will it become 5.0625 times?

A. 6 years

B. 3 years

C. 5 years

D. 4 years

Correct Answer: Option D

Explanation:
2.25 = (1.5)², so rate 50%. 5.0625 = 2.25², so 4 years. Or 2.25 times in 2 years, 5.0625 = (2.25)², so time 2×2=4.

This question belongs to: Maths Compound Interest