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Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?

Correct answer: A. 5 : 1

  • A. 5 : 1
  • B. 4 : 1
  • C. 3 : 2
  • D. 2 : 1Downloading Interactive Party Trivia Games

Explanation

Let the amounts at 7% and 10% be x rupees and y rupees. Then x + y = 6000 rupees and 0.07x + 0.10y = 450 rupees; using x = 6000 - y gives 420 + 0.03y = 450, so y = 1000 rupees and x = 5000 rupees. Thus the ratio is 5000 : 1000 = 5 : 1. The likely mistake is choosing 4 : 1 by comparing the interest rates or ignoring the total-interest equation.

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