Question

In how many years, $Rs.150$ will produce the same interest at $8\%p.a.$ as $Rs.800$ produce in $3$ years at $4\frac{1}{2}\%p.a.$?

• A. $6$
• B. $8$
• C. $9$
• D. $12$

Answer 1

Answer: (C)

$9$

$P=Rs.800,R=4\frac{1}{2}\%p.a.,T=3$ years
$\therefore S.I.=Rs.\frac{800\times 9\times 3}{2\times 100}=Rs.108$
Now, $S.I.=Rs.108,P=Rs.150,R=8\%p.a.$

$Time=\frac{S.I\times 100}{P\times Rate}$
$\therefore Time=\left(\begin{array}{c}\frac{108\times 100}{150\times 8}\end{array}\right)years=9$ years.