Question

What is the sum should be invested if final amount =$2809$ and compound interested for $2$ years at $6\%$ per annum?

• A. $Rs.1575$
• B. $Rs.2000$
• C. $Rs.2500$
• D. $Rs.2250$

Answer 1

The correct option is C $Rs.2500$

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

According to question:

$2809=P\left[{(1+\frac{6}{100})}^2\right]$

$⟹2809=P\left[\frac{53\times 53}{50\times 50}\right]$

$⟹2809=P\left[1.1236\right]$

$⟹P=\frac{2509}{1.1236}=Rs.2500$