Simple interest on a sum of money for 2 years at 4% growth rate is ₹ 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half-yearly.

The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is ₹ 97200, find :

(i) its value after 2 years.

(ii) its value when it was purchased.

Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received ₹ 64 more than Anuj. Find the money lent by each and interest received.