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A sum of money doubles itself at a certain rate of compound interest in 12 years when the interest is compounded annually. In how many years will it b
Question

A sum of money doubles itself at a certain rate of compound interest in 12 years when the interest is compounded annually. In how many years will it become eight times of itself?

A.

24

B.

48

C.

12

D.

36

Correct option is D

Given:

Amount = 2 × Principal

Time = 12 years

Solution:

A certain sum at C.I. becomes n times in t years then,

n times → t years

nmn^m​ times → (m × t) years

A sum of money placed at C.I. doubles itself in 4 years then,

2 times → 12 years

8 times = 232^3 times = (3 × 12) years = 36  years

∴ A sum of money will amount to its 8 times in 36 years. 

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