Question

Find the sum which amount to Rs. $1352$ in $2$ years at $4\%$ compound interest.

• A. Rs. $1250$
• B. Rs. $1220$
• C. Rs. $1245$
• D. Rs. $1350$

Answer 1

The correct option is A Rs. $1250$

Let the sum is Rs. $x$ , which Amount to Rs. $1352$ in $2$ years.

Rate of Compound interest, $r=4$%

Principal ,$P=x$

Time, $t=2$ years

Amount, $A=P{(1+\frac{r}{100})}^t$

$1352=x{(1+\frac{4}{100})}^2$

$1352=x{(1+\frac{1}{25})}^2$

$1352=x{\left(\frac{26}{25}\right)}^2$

$\Rightarrow x=1352\times \frac{25}{26}\times \frac{25}{26}$

$x=Rs.1250$