Question
A person invests Rs.15,000 in two different schemes. The
first scheme offers simple interest at 10% per annum, and the second scheme offers simple interest at 12% per annum. The total interest earned in 2 years from both schemes is Rs.3300. Find the amount invested in the second scheme.Solution
Let the amount invested in the first scheme be Rs.x and in the second scheme be Rs.(15000 - x). Interest from the first scheme in 2 years = x × 10% × 2/100 = 0.2x Interest from the second scheme in 2 years = (15000 - x) × 12% × 2/100 = 0.24(15000 - x) According to the given condition, 0.2x + 0.24(15000 - x) = 3300 Simplifying: 0.2x + 3600 - 0.24x = 3300 -0.04x = -300 x = 7500 Amount invested in the second scheme = 15000 - 7500 = Rs.7500
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