Question
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Ashin invested an amount of Rs. 13,900 divided into 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 (in rupees)?
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Answer: Option A
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Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).
Then
14×x×2100 + (13900−x)×11×2100 = 3508
28x+13900×22−22x100= 3508
28x+13900×22−22x=3508×100
28x - 22x = 350800 - (13900 × 22)
6x = 45000
x = 7500
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400
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