Question

At what rate percent per annum simple interest will a sum of money double itself in $6$ years?

• A. $16.6$
• B. $14.6$
• C. $15.6$
• D. $13.6$

Answer 1

Answer: (A)

$16.6$

Let $P=x$, then $A=2x$
Also, S.I $=A-P=2x-x=x$
$T=6$ years
We know that S.I. $=\frac{P\times R\times T}{100}$
$\Rightarrow \frac{x\times R\times 6}{100}=x$
$\Rightarrow R=\frac{100x}{6x}=16.6\%$