Question

A part of 1500rs was lent on 10% p.A and the rest at 7% p.A. Simple interest. The total interest earned in 3 yrs was 396rs. What was the sum lent at 10% p.A?

Answer 1

₹900

Explanation:

Let x represent the amount loaned at 10%. Then (1500-x) is the amount loaned at 7%, and the total interest for 3 years is ...

i = Prt

396 = x(0.10)(3) + (1500-x)(0.07)(3)

396 = 0.09x +315 . . . . . simplify

81 = 0.09x . . . . . . . . . . . subtract 315

81/0.09 = x = 900 . . . . . divide by the coefficient of x

The sum lent at 10% was ₹900.