A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 512 times? MCQ with Answer and Explanation

A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 512 times?
A. 6 years
B. 12 years
C. 7 years
D. 9 years
Answer: Option D
Solution (By JKSSB Mock Tests)
512 = 8³, so 3 × 3 = 9 years.

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Practice More Compound Interest Questions

Question #1
The difference between CI and SI on a sum for 2 years at 10% is Rs. 60. The sum is:
A. Rs. 5000
B. Rs. 5500
C. Rs. 6000
D. Rs. 6500

Correct Answer: Option C


Explanation:
D = P × 0.01 = 60 ⇒ P = 6000.

This question belongs to: Maths Compound Interest
Question #2
If the simple interest on a sum of money for 3 years at 5% per annum is Rs. 1200, find the compound interest on the same sum at the same rate for the same period.
A. Rs. 1261.00
B. Rs. 1240.50
C. Rs. 1301.50
D. Rs. 1280.00

Correct Answer: Option A


Explanation:
Simple Interest for 1 year = 1200 / 3 = Rs. 400. Principal P = (1200 * 100) / (5 * 3) = Rs. 8000. Amount with compound interest = 8000 * (1 + 5/100)^3 = 8000 * 1.157625 = Rs. 9261. Compound Interest = 9261 - 8000 = Rs. 1261.

This question belongs to: Maths Compound Interest
Question #3
Find the compound interest on Rs. 16800 at 10% per annum for 2 years.
A. Rs. 3360
B. Rs. 3696
C. Rs. 3528
D. Rs. 3864

Correct Answer: Option C


Explanation:
A = 16800 × 1.21 = 20328, CI = 20328 − 16800 = Rs. 3528.

This question belongs to: Maths Compound Interest