Question

A certain sum amounts to $Rs.5107.60$ in $2$ years at the rate of $13\%$ per annum the sum is

• A. $Rs.4107$
• B. $Rs.3107.60$
• C. $Rs.4000$
• D. $Rs.4110$

Answer 1

The correct option is C $Rs.4000$

Let the principal be $=P$

Amount $=Rs.5107.6$

Time $=2$ years

Rate $=13\%$

$A=P{(1+\frac{R}{100})}^T$

$\Rightarrow 5107.60=P{(1+\frac{13}{100})}^2$

$\Rightarrow P=\frac{5107.6\times 100\times 100}{103\times 103}$

$\Rightarrow P=Rs.4000$

Thus, the sum is $Rs.4000$.