Question

A certain sum amounts to Rs. 67600 in 2 years at $4 \%$ p.a. compound interest. Find the sum.

Answer 1

Let the sum be Rs. P, then

$$

\begin{array}{c}

\text { Amount, } P\left(1+\frac{R}{100}\right)^{t}=67600 \\

\Rightarrow P\left(1+\frac{4}{100}\right)^{2}=67600 \\

\Rightarrow P\left(\frac{26}{25}\right)^{2}=67600 \\

\Rightarrow P \times \frac{676}{625}=67600 \\

\therefore P=\frac{67600 \times 625}{676} \\

=62500 \text {; Ans. }

\end{array}

$$