Question

Simple interest on a certain amount is $\frac{9}{16}$ of the principal. If the number representing the rate of interest in percent and time in year be equal then the time is-

• A. $5\frac{1}{2}$ years
• B. $6\frac{1}{2}$ years
• C. $7$ years
• D. $7\frac{1}{2}$

Answer 1

The correct option is D $7\frac{1}{2}$

Let Simple Interest be $S.I$

Principle be $P$

rate be $r$

time be $t$

$S.I=\frac{P\times t\times r}{100}$

Given,

$S.I=\frac{9}{16}\times P$ and $t=r$

$\frac{P\times t\times r}{100}=\frac{9}{16}\times P$

$t=7\frac{1}{2}$ years