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      Question

      Quantity I: Tara invested a certain amount in a simple

      interest scheme at a rate of 18% per annum for 5 years, while Rina invested the same amount in a compound interest scheme at a rate of 15% per annum for 2 years. If the interest earned by Tara from the simple interest scheme is ā‚¹3176.25 more than the interest earned by Rina, find the amount invested by Tara. Quantity II: Varun invests ā‚¹x in a simple interest scheme at a rate of 16% per annum for 4 years, and he also invests ā‚¹4500 in another simple interest scheme at a rate of 18% per annum for 3 years. If the interest from the first scheme is ā‚¹770 more than the interest from the second scheme, find the value of x.
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I ā‰„ Quantity II Correct Answer Incorrect Answer
      C Quantity II > Quantity I Correct Answer Incorrect Answer
      D Quantity II ā‰„ Quantity I Correct Answer Incorrect Answer
      E Quantity I = Quantity II or Relation cannot be established Correct Answer Incorrect Answer

      Solution

      Answer: A From quantity I, SI = P * N * R/100 (P * 18 * 5 /100) ā€“ (P * (1 + 15/100)2 ā€“ P) = 3176.25 0.9P ā€“ 0.3225P = 3176.25 P = 5500 From quantity II, Ā (x * 16 * 4/100) ā€“ 4500 * 18 * 3/100 = 770 0.64x = 3200 x = 5000 Quantity I > quantity II

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