Question:
Find the compound interest on Rs 15625 for 9 months, at 16% per annum, compounded quarterly.
Solution:
Given:
$\mathrm{P}=\mathrm{Rs} 15,625$
$\mathrm{R}=16 \%=\frac{16}{4}=4 \%$ quarterly
$\mathrm{n}=9$ months $=3$ quarters
We know that:
$\mathrm{A}=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{\mathrm{n}}$
$=$ Rs $15,625\left(1+\frac{4}{100}\right)^{3}$
$=$ Rs $15,625(1.04)^{3}$
$=$ Rs 17,576
Also,
$\mathrm{CI}=\mathrm{A}-\mathrm{P}$
$=$ Rs $17,576-$ Rs 15,625
$=$ Rs 1,951
Thus, the required compound interest is Rs 1,951 .