# What will be the total compound interest for 9 months on Rs 8000 at the rate of 20% if the interest is compounded quarterly?

 P = Rs 8, 000T = 9 months = 3 quartersR = 20 % per annum = 5 % per quarter$A = 8, 000 \left( 1 + \frac{5}{100} \right)^3$$= 8, 000 \left( 1 . 05 \right)^3$ = 9, 261The required amount is Rs 9, 261.Now, CI = A - P= Rs 9, 261 - Rs 8, 000= Rs 1, 261 Find the compound interest on Rs. 8000 for 9 months at 20% per annum compounded quarterly.Open in App [∵ Simple interest = P×T×R×100 Amount after first quarter = Rs. 8000 + Rs. 400 = Rs. 8400 Or principal for the second year = Rs. 8400 ∴ Interest for the second quarter =8400×5×1100=Rs.420 ∴ Amount after second quarter = Rs. 8400 + Rs. 420 = Rs. 8820 Or principal for the third quarter = Rs. 8820 ∴ Interest for the third quarter =8820×5×1100=Rs.441 ∴ Compound interest for 9 months or 3 quarters = Rs. 400 + Rs. 420 + Rs. 441 = Rs. 1261Suggest Corrections 11