Question
A sum of Rs.12000 was lent partly at 5% and partly at 3%
simple interest. The total annual interest be Rs.450. Quantity I. Part lent at 5% SI. Quantity II. Part lent at 3% SI.Solution
Let the money invested at 3% be Rs.x and at 5% be Rs.(12000 - x). Then (x X 3 X 1)/100 + (12000 - x) x 1 x (5/100) = 450 (3x/100) + 600 - (5x/100) = 450 => 2x/100 = 150 ⇒ x = 7500 Quantity I. 12000 - 7500 = 4500 Quantity II. x = 7500 Quantity I < Quantity II
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