A part of Rs.8,250 is invested at a rate of 10% per annum and the remaining amount is invested at a rate of 20% per annum at simple interest. Both the amounts are invested for a period of two years and the interest earned on both the investments is same. How much amount was invested at the rate of 10%?

Let the amount invested at 10% be x, making the amount invested at 20% equal to 8250 minus x. Equating the simple interests for two years gives x times 10 times 2 divided by 100 equals 8250 minus x times 20 times 2 divided by 100, which simplifies to 20x equals 33000 minus 8x. Solving for x gives 28x equals 33000, so the amount invested at 10% is 5500.

• Thanks
• Wrong explanation