Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A a

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Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

Answer: Option A

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).

Then, \(\left(\frac{x\times14\times2}{100}\right)+\left(\frac{(13900-x)\times11\times2}{100}\right) = 3508\)

28x - 22x = 350800 - (13900 x 22)

6x = 45000

x = 7500.

So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.

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