Question

The difference in SI and CI on a certain sum of money in $2$ years at $15\%$ p.a. is $Rs144$. The sum is

• A. $Rs.6000$
• B. $Rs.6200$
• C. $Rs.6300$
• D. $Rs.6400$

Answer 1

The correct option is D $Rs.6400$

When the difference between C.I and S.I given then $\text{Sum}=\text{difference}{\left(\frac{100}{r}\right)}^2$.
Given difference is $Rs.144$.

Rate of interest is $15\%$
$\begin{array}{cc}Sum& =144\times {\left(\frac{100}{15}\right)}^2\\ & =144\times \frac{10000}{225}\\ & =6400\end{array}$