A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more if the interest was payable half yearly than if it was payable annually. Find the sum of money lent.

The sum lent is Rs. 20,000.

Annual CI factor = (1.2)^2 = 1.44, so interest = 0.44P.

Half-yearly at 10% for 4 periods = (1.1)^4 = 1.4641, interest = 0.4641P.

Difference = 0.4641P - 0.44P = 0.0241P = 482.

P = 482 / 0.0241 = Rs. 20,000.