Apart 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?

  ₹900

Step-by-step 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.

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