A certain sum amounts to ₹5292 in 2 years and to ₹5556.60 in 3 years at compound interest. Find the rate and the sum.

Let the rate of interest be r% per annum. As sum amounts to ₹5292 in 2 years, substituting value we get, .....(Eq. 1) As sum amounts to ₹5556.60 in 3 years, substituting value we get, .....(Eq. 2) Dividing Eq. 2 by Eq. 1 we get, Substituting value of r in Eq. 1 we get, Hence, sum = ₹4800 and rate = 5%.