A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it b

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6.Interest

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A sum of money at compound interest amounts to thrice itself in $3$ years. In how many years will it be $9$ times itself?

A

$9$

B

$27$

C

$6$

D

$3$

Solution

(c) $\quad A=P\left(1+\frac{R}{100}\right)^{T}$

$\Rightarrow \quad 3=1\left(1+\frac{R}{100}\right)^{3}$

On squaring both sides,

$9=1\left(1+\frac{R}{100}\right)^{6}$

Clearly, the required time $=6$ years

Standard 13

Quantitative Aptitude

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