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      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.
      A Rs.7500 Correct Answer Incorrect Answer
      B Rs.8000 Correct Answer Incorrect Answer
      C Rs.9000 Correct Answer Incorrect Answer
      D Rs.10,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      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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