Ms. Hema invests Rs. 8000 for six months at 20% per annum compounded quarterly. The total amount she gets after 6 months is :

We know that, $(A = P{\left( {1 + \frac{R}{{100}}} \right)^T})$

Where, A = total amount, P = Principal, R = % interest rate; T = time period

Here, the interest rate is 20% per annum, and interest is compounded quarterly.

∴ interest rate per interest period is 20/4 = 5%.

Also, the interest is calculated after six months, number of periods = 6/3 = 2

∴ Amount $(= 8000 \times {\left( {1 + \frac{5}{{100}}} \right)^2} = 8000 \times \frac{{21}}{{20}} \times \frac{{21}}{{20}} = 8820)$