Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8 % per annum and 9 % per annum respectively. She received ₹ 1860 as annual interest. However, had she interchanged the amount of investment in the two schemes, she would have received ₹20 more as annual interest. How much money did she invest in each scheme?

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Amount invested by A is Rs.10000 and in B is Rs.10000.

Amount invested by A is Rs.13000 and in B is Rs.12000.

Amount invested by A is Rs.11000 and in B is Rs.22000.

Amount invested by A is Rs.12000 and in B is Rs.10000.

answer is D.

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Detailed Solution

Given that the interest rates in A and B are 8% and 9%, respectively.
After interchanging the interest rates in A and B are 9% and 8%, respectively and the amount received is Rs. 20 more.
We know that Simple Interest

I = P × R × T 100

.
I = simple interest, P = principal, R = rate of interest, T = time.
Amount received A = P / I.
Let us consider the amount invested in A be Rs. x and in B be Rs. y.
The interest rates in A and B are 8% and 9%, respectively.