Question

find the amount on rs 6000 for 2 years at 9%per annum compounded annually. pls solve it step wise.... plsss​

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

• Principal, (P) = Rs.6000
• Rate, (R) = 9% p.a.
• Time, (n) = 2 years .

$\underline{\bf{Explanation\::}}$

As we know that formula of the compounded annually ;

$\boxed{\bf{Amount=Principal\bigg(1+\frac{R}{100} \bigg)^{n}}}$

A/q

$\mapsto\tt{Amount=6000\bigg(1+\dfrac{9}{100} \bigg)^{2}}$

$\mapsto\tt{Amount=6000\bigg(\dfrac{100 + 9}{100} \bigg)^{2}}$

$\mapsto\tt{Amount=6000\bigg(\dfrac{109}{100} \bigg)^{2}}$

$\mapsto\tt{Amount=6\cancel{000} \times \dfrac{109}{\cancel{100}} \times \dfrac{109}{10\cancel{0}}}$

$\mapsto\tt{Amount=\dfrac{6\times 109\times 109}{10} }$

$\mapsto\tt{Amount=\cancel{\dfrac{71286}{10} }}$

$\mapsto\bf{Amount=Rs.7128.6}$

Thus;

The amount of the Interest will be Rs.7128.6 .