An amount of ₹1,00,000 is invested in two types of shares. The first yields interest at 9% per annum and the second at 11% per annum. If the total interest after one year is ₹9,750, the amounts invested in each share were:

Explanation

Let the amount invested at 9% be x.
0.09x + 0.11(1,00,000 - x) = 9,750.
0.09x + 11,000 - 0.11x = 9,750, so 0.02x = 1,250 and x = ₹62,500.
The amount invested at 11% = ₹1,00,000 - ₹62,500 = ₹37,500.