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      Question

      A person invests a sum of money in two schemes, P and Q.

      Scheme P offers simple interest, and Scheme Q offers compound interest. The amount invested in each scheme and their rates of interest are unknown. What is the total interest earned from both schemes after 2 years? Statements: 1. The amount invested in Scheme Q is тВ╣5,000, and it compounds annually at 10% per annum. 2. The amount invested in Scheme P is double the amount in Scheme Q and earns simple interest at a rate of 12% per annum.
      A Statement 1 alone is sufficient, but statement 2 alone is not sufficient. Correct Answer Incorrect Answer
      B Statement 2 alone is sufficient, but statement 1 alone is not sufficient. Correct Answer Incorrect Answer
      C Both statements together are sufficient, but neither alone is sufficient. Correct Answer Incorrect Answer
      D Each statement alone is sufficient. Correct Answer Incorrect Answer
      E Statements 1 and 2 together are not sufficient. Correct Answer Incorrect Answer

      Solution

      From Statement 1: Investment in Scheme Q = тВ╣5,000 at 10% compound interest. Using the compound interest formula, Amount after 2 years = 5000 * (1 + 10/100) ┬▓ ┬а= 5000 * 1.21 = тВ╣6,050. Interest from Scheme Q = 6050 - 5000 = тВ╣1,050. Statement 1 alone does not provide the interest from Scheme P. From Statement 2: Investment in Scheme P is 5000 * 2 = тВ╣10,000 at 12% simple interest for 2 years. Interest = 10000 * 12 * 2 / 100 = тВ╣2,400. Statement 2 alone does not provide the interest from Scheme Q. Combining Statements 1 and 2: Total interest = 1050 + 2400 = тВ╣3,450. Correct Answer: (c) Both statements together are sufficient, but neither alone is sufficient.

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