Question

The difference in S.I. and C.I. on a certain sum of money in $2$ years at $15\%$ p.a. is Rs. $144$. Find the sum.

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

Answer 1

The correct option is D Rs. $6400$

$\Rightarrow$ The difference between $S.I.$ and $C.I.$ is $Rs.144$.

$\Rightarrow$ We have $T=2years$ and $R=15\%$.

$\Rightarrow$ $P=(S.I.-C.I)\times (\frac{1}{R}{)}^T$

$\Rightarrow$ $P=144\times (\frac{100}{15}{)}^2$

$\Rightarrow$ $P=\frac{144\times 400}{9}$

$\therefore$ $P=Rs.6400$