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      Question

      Neha invested Rs. 50,000 in two different schemes,

      ‘C’ and ‘D’, for 3 years and 4 years, respectively. Scheme ‘C’ offers a simple interest rate of 15% per annum, while scheme ‘D’ provides compound interest (compounded annually) at a rate of 25% per annum. Determine the sum invested in scheme ‘D’ if the interest from scheme ‘C’ is Rs. 2,250 more than that from scheme ‘D’.
      A Rs.18,000 Correct Answer Incorrect Answer
      B Rs.15,000 Correct Answer Incorrect Answer
      C Rs.25,000 Correct Answer Incorrect Answer
      D Rs.20,000 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the sum invested in scheme ‘D’ be Rs. ‘y’. Sum invested in scheme ‘C’ = Rs. (50000 - y). Simple interest from scheme ‘C’ = (50000 - y) × 15% × 3. Compound interest from scheme ‘D’ = y × [{1 + (25/100)}4 - 1]. Setting the interest difference and solving for ‘y’ gives y = Rs.20,000

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