Question:
Find the compound interest on Rs 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.
Solution:
Given:
$\mathrm{P}=\mathrm{Rs} 16,000$
$\mathrm{R}=20 \%$ p. a.
$\mathrm{n}=1$ year
We know that:
$\mathrm{A}=\mathrm{P}\left(1+\frac{\mathrm{R}}{400}\right)^{4 \mathrm{n}}$
$=16,000\left(1+\frac{20}{400}\right)^{4}$
$=16,000(1.05)^{4}$
$=\mathrm{Rs} 19,448.1$
Now,
$\mathrm{CI}=\mathrm{A}-\mathrm{P}$
$=\mathrm{Rs} 19,448.1-\mathrm{Rs} 16,000$
$=\mathrm{Rs} 3,448.1$