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Mr. Thomas invested an amount of 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 3508, what was the amount invested in Scheme B?

A. 

7500

B. 

6500

C. 

6400

D. 

7200

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Answer with explanation

Answer: Option C

Explanation

Explanation: Let the sum invested in Scheme A be x and that in Scheme B be (13900 – x).

Then, (x x 14 x 2)/100 + ((13900 – x) x 11 x 2)/100 = 3508

28x – 22x = 350800 – (13900 x 22)

6x = 45000

x = 7500.

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

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