The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years is?

To find the rate of compound interest, we can use the formula for compound interest which is:

A = P (1 + r/n)^(nt)

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

In this case, we know that: A = Rs. 8820 P = Rs. 8000 t = 2 years n = 1 (assuming the interest is compounded annually)

We need to find r.

So, we can rearrange the formula to solve for r:

r = n[(A/P)^(1/nt) - 1]

Substituting the given values:

r = 1[(8820/8000)^(1/(1*2)) - 1]

Calculating the above expression will give us the annual interest rate in decimal. To convert it to a percentage, we multiply by 100.

Please note that the exact rate might vary slightly due to rounding errors in the calculation.