Question

The difference in SI and CI on a certain sum of money in 2 years at $15\%p.a.$ is Rs. 144. The sum is

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

Answer 1

The correct option is D Rs. 6400

C I - S I = 144
$P\{{(1+\frac{R}{100})}^n-1\}-\frac{PRT}{100}=144$
$P[\frac{129}{400}-\frac{3}{10}]=144$
$P\left[\frac{9}{400}\right]=144$
$P=\frac{144\times 400}{9}$
$=Rs.6400$