Question:
What will be the compound interest on Rs 4000 in two years when rate of interest is 5% per annum?
Solution:
We know that amount $A$ at the end of $n$ years at the rate of $R \%$ per annum is given by $A=P\left(1+\frac{R}{100}\right)^{n}$.
Given:
$\mathrm{P}=\mathrm{Rs} 4,000$
$\mathrm{R}=5 \%$ p. a
$\mathrm{n}=2$ years
Now,
$\mathrm{A}=4,000\left(1+\frac{5}{100}\right)^{2}$
$=4,000(1.05)^{2}$
$=\mathrm{Rs} 4,410$
And,
$\mathrm{CI}=\mathrm{A}-\mathrm{P}$
$=\mathrm{Rs} 4,410-\mathrm{Rs} 4,000$
$=\mathrm{Rs} 410$