Question
A person invests ₹25,000 in two schemes A and B. In
scheme A, he gets 15% simple interest per annum, and in scheme B, he gets 18% simple interest per annum. After 2 years, the total interest earned is ₹8,100. How much was invested in scheme A?Solution
Let the amount invested in scheme A be ₹x, and the amount invested in scheme B be ₹25,000 - x. The interest from scheme A = (x × 15 × 2) / 100 = 0.3x, The interest from scheme B = ((25,000 - x) × 18 × 2) / 100 = 0.36(25,000 - x). Total interest = ₹8,100, so: 0.3x + 0.36(25,000 - x) = 8,100 0.3x + 9,000 - 0.36x = 8,100, -0.06x = -900, x = 900 / 0.06 = ₹15,000 Amount invested in scheme A = ₹15,000
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