Ashin invested an amount of Rs. 13,900 divided into two different schemes A and B at the simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest earned in 2 years is Rs. 3508, what was the amount invested in Scheme B (in rupees)?
Let the sum invested in Scheme A be Rs. x.
Then, sum invested in scheme B will be Rs. (13900 - x).
Given, total simple interest earned in 2 years is Rs. 3508.
Total interest = interest from scheme A + interest from scheme B
14×x×2100 + (13900−x)×11×2100 = 3508
28x−22x=350800−(13900×22)
6x = 45000
x = 7500
So, sum invested in scheme B = Rs. (13900 - 7500) = Rs. 6400