A person invests ₹ 5000 for three years at a certain rate of interest compounded annually. At the end of two years this sum amounts to ₹ 6272. Calculate :

(i) the rate of interest per annum.

(ii) the amount at the end of the third year.

In how many years will ₹ 7000 amount to ₹ 9317 at 10 per cent per annum compound interest ?

Divide ₹ 28730 between A and B so that when their shares are lent out at 10 per cent compound interest compounded per year, the amount that A receives in 3 years is same as what B receives in 5 years.

A sum of ₹ 44200 is divided between John and Smith, 12 years and 14 years old respectively, in such a way that if their portions be invested at 10 percent per annum compound interest, they will receive equal amounts on reaching 16 years of age.

(i) What is the share of each out of ₹ 44200?

(ii) What will each receive, when 16 years old ?