A sum of money doubles itself at compound interest in 8 years. In how many years will it become 16 times? MCQ with Answer and Explanation

A sum of money doubles itself at compound interest in 8 years. In how many years will it become 16 times?
A. 28 years
B. 36 years
C. 24 years
D. 32 years
Answer: Option D
Solution (By JKSSB Mock Tests)
2 times in 8 years, 16 = 2⁴, so 8 × 4 = 32 years.

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Practice More Compound Interest Questions

Question #1
In what time will Rs. 5000 amount to Rs. 6050 at 10% per annum compound interest?
A. 2 years
B. 3 years
C. 1 year
D. 4 years

Correct Answer: Option A


Explanation:
5000(1.1)^t = 6050 ⇒ (1.1)^t = 1.21 = (1.1)² ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2
Find the compound interest on Rs. 10000 for 2 years at 4% per annum, the interest being compounded half-yearly.
A. Rs. 824.32
B. Rs. 841.44
C. Rs. 832.14
D. Rs. 816.00

Correct Answer: Option A


Explanation:
Half-yearly rate = 4/2 = 2%. Time = 2 years = 4 half-years. Amount = 10000 * (1 + 2/100)^4 = 10000 * (1.02)^4 = 10000 * 1.082432 = Rs. 10824.32. Compound Interest = 10824.32 - 10000 = Rs. 824.32.

This question belongs to: Maths Compound Interest
Question #3
A sum of money amounts to Rs. 4840 in 2 years and Rs. 5324 in 3 years at compound interest. Find the rate.
A. 15%
B. 8%
C. 10%
D. 12%

Correct Answer: Option C


Explanation:
Rate = (5324/4840 − 1) × 100 = (1.1 − 1) × 100 = 10%.

This question belongs to: Maths Compound Interest