1)

The difference between simple and compound interest on a certain sum of money for 3 years at 10% p.a. is Rs. 15.50. Find the sum.


A) Rs.300

B) Rs.400

C) Rs.500

D) Rs.1000

E) Rs.800

Answer:

Option C

Explanation:

The difference in C.I. and S.I. for 3 years is given by

$C.I.-S.I$ $=P\{\left(\frac{R}{100}\right)^{3}$ $+3 \left(\frac{R}{100}\right)^{2}\}$

$\Rightarrow 15 \frac{1}{2}$ $=P\{ \left(\frac{10}{100}\right)^{3}$ $+3 \left(\frac{10}{100}\right)^{2}\}$

$\Rightarrow \frac{31}{2}$ $=P\left[\frac{1}{1000}+\frac{3}{100}\right]$

$P$ $=\frac{31}{2}\times\frac{1000}{31}$ = Rs. 500.