₹10000 was lent for one year at 10% per annum. By how much more will the interest be, if the sum was lent at 10% per annum, interest being compounded half-yearly?

A man invests ₹3072 for two years at compound interest. After one year the money amounts to ₹3264. Find the rate of interest and the amount due at the end of 2nd year.

Two equal sums were lent at 5% and 6% per annum compound interest for 2 years. If the difference in the compound interest was ₹422, find :

(i) the equal sums

(ii) compound interest for each sum.

The compound interest on a sum of money for 2 years is ₹1331.20 and the simple interest on the same sum for the same period at the same rate is ₹1280. Find the sum and the rate of interest per annum.