Question
A sum of ₹15,000 is divided into two parts. One part
is invested at 10% simple interest per annum, and the other part is invested at 15% simple interest per annum. After 2 years, the total interest earned is ₹3,500. How much was invested at 10%?Solution
Let the amount invested at 10% be ₹x, and the amount invested at 15% be ₹15,000 - x. Interest from the first part = (x × 10 × 2) / 100 = 0.2x. Interest from the second part = ((15,000 - x) × 15 × 2) / 100 = 0.3(15,000 - x). Total interest = ₹3,500, so 0.2x + 0.3(15,000 - x) = 3,500 0.2x + 4,500 - 0.3x = 3,500 -0.1x + 4,500 = 3,500 -0.1x = -1,000 x = ₹10,000. Correct option: d
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