The simple interest on a certain sum for 412 years at 10% p.a. is 60% of the compound interest on a sum of Rs. 12,000 for 1 year at 10% p.a., interest compounded half-yearly. The sum on which the simple interest is calculated is:

The difference between simple interest and compound interest (compounded half-yearly) on a sum at the rate of 25% per annum for 1 year is ₹ 4,375. What is the principal amount?

A person invested half of his capital at 10% simple interest and the other half at 10% compound interest (compounded annually) for 2 years. If the total interest earned is ₹ 4,100, find his total capital.