Question

The difference in SI and CI on a certain sum of money in 2 years at $15\%p.a.$ is ₹1440. Find the sum invested.

• A. ₹61200
• B. ₹60000
• C. ₹64000
• D. ₹66400

Answer 1

The correct option is C ₹64000

C I - S I = ₹1440
$P\{{(1+\frac{R}{100})}^n-1\}-\frac{PRT}{100}=1440$
$P\{{(1+\frac{15}{100})}^2-1\}-\frac{P\times 30}{100}=1440$
$P\{\left(\frac{529}{400}\right)-1\}-\frac{3P}{10}=1440$
$P[\frac{129}{400}-\frac{3}{10}]=1440$
$P\left[\frac{9}{400}\right]=1440$
$P=\frac{1440\times 400}{9}$
$=₹64000$