# If a certain principal amounts to 44,000 rs at 5% p.a. over 2years, how much will it amount to in 3 years at the same rate?

$\begin{array}{l}\text{As we know,}\\ \text{simple interest}\ \left(I\right)=\frac{P\times r\ \times t}{100},\text{ Amount }\left(A\right)=I+P=P\left(1+\frac{r\ \times t}{100}\right)\\ \text{Given},\ A=44000\ at\ t=2\ year\ ,\ r=5\%\\ \text{Put the values,}\\ A=P\left(1+\frac{5\ \times2}{100}\right)=44000\\ \Rightarrow P=\frac{44000}{1.1}=40000\\ \text{Amount after 3 year,}\\ A=P\left(1+\frac{r\ \times t}{100}\right)\\ \Rightarrow A=40000\left(1+\frac{5\ \times3}{100}\right)\\ \Rightarrow A=46000\\ \text{Amount after 3 year is, }46000.\end{array}$

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