Multiple choice

A sum of Rs.2600 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another part at 9% for 6 years. The sum lent out at 10% is:

  1. Rs.1150

  2. Rs.1250

  3. Rs.1350

  4. Rs.1450
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the sum at 10% be x. Then interest = x×10×5/100 = x/2. Remaining sum = 2600-x at 9% for 6 years gives interest = (2600-x)×9×6/100 = 54(2600-x)/100. Equating: x/2 = 54(2600-x)/100. Solving gives x = 1350. Option C is correct.

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