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The amount doubles itself under Compound interest in 15 years. In how many years will it become 256 times of itself at the same rate of interest?
Question

The amount doubles itself under Compound interest in 15 years. In how many years will it become 256 times of itself at the same rate of interest?

A.

120 

B.

127

C.

115

D.

125

Correct option is A

Amount doubles in 15 years
So in 15 years → ×2
In 30 years → ×4
In 45 years → ×8

We need ×256 = 2⁸
So time = 8 × 15 = 120 years

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