# A Certain Sum Amounts to Rs 5832 in 2 Years at 8% Compounded Interest. Find the Sum. - Mathematics

Sum

A certain sum amounts to Rs 5832 in 2 years at 8% compounded interest. Find the sum.

#### Solution

Let the sum be P .
Thus, we have:
$A = P \left( 1 + \frac{R}{100} \right)^n$
$5, 832 = P \left( 1 + \frac{8}{100} \right)^2$
$5, 832 = 1 . 1664P$
$P = \frac{5, 832}{1 . 1664}$
$= 5, 000$
Thus, the required sum is Rs 5, 000.

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.3 | Q 18 | Page 21