Question
Rs.26000 is split into two sums such that the Simple
Interest on one part for 5 years at 10% equals the Simple Interest on the other part for 6 years at 9%. What is the sum placed at 10% for 5 years?Solution
Let the two parts be x and y. For the first part. T = 5 years and r = 10% For the second part. T = 6 years and r = 9% According to the question (x x 5 x 10)/100 = (y x 6 x 9)/100 50x = 54y x: y = 54:50 x: y = 27:25 The sum placed at 10% for 5 years = [27/ (27 + 25)] × 26000 = (27/52) x 26000 = 13500
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