A sum of money invested at compound interest doubles itself in 14 years. In how many years will it become 4 times of itself? MCQ with Answer and Explanation

A sum of money invested at compound interest doubles itself in 14 years. In how many years will it become 4 times of itself?
A. 28 years
B. 42 years
C. 21 years
D. 35 years
Answer: Option A
Solution (By JKSSB Mock Tests)
The sum doubles (2^1) in 14 years. It will become 4 (2^2) times in 2 * 14 = 28 years.

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Practice More Compound Interest Questions

Question #1
In how many years will Rs. 5000 become Rs. 5618 at 6% compound interest?
A. 1.5 years
B. 2.5 years
C. 2 years
D. 3 years

Correct Answer: Option C


Explanation:
5000(1.06)^t = 5618 ⇒ (1.06)^t = 1.1236 = (1.06)² ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2
A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. Find the rate of interest per annum.
A. 6%
B. 6.25%
C. 5%
D. 6.5%

Correct Answer: Option B


Explanation:
Interest for the 3rd year = 4913 - 4624 = Rs. 289. Rate of interest = (289 / 4624) * 100 = 0.0625 * 100 = 6.25%.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 408
B. Rs. 405
C. Rs. 390
D. Rs. 400

Correct Answer: Option D


Explanation:
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 410 => 1% of sum = 40. Simple Interest = 10% of sum = 10 * 40 = Rs. 400.

This question belongs to: Maths Compound Interest