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      Question

      The difference between total SI earned on Rs 'P' at 18%

      p.a. for 3 years and total CI earned on same sum at 20% p.a. for 2 years when compounded annually is Rs 640. Find P? (in Rs.)
      A Rs. 6500 Correct Answer Incorrect Answer
      B Rs. 6420 Correct Answer Incorrect Answer
      C Rs. 6400 Correct Answer Incorrect Answer
      D Rs. 6550 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      SI = (P × 18 × 3)/100 = 54P/100 CI = P{(1 + 20/100)2 – 1} = 44P/100 ATQ, 54P/100 – 44P/100 = 640 10P/100 = 640 P = Rs. 6400 Alternate Method: Total interest when calculated as SI = 18% × 3 = 54% Total interest when calculated as CI = 20 + 20 + (20 × 20)/100 = 44% ATQ: 54% - 44% = 640 1% = 64 100% = 6400 Therefore, P = Rs. 6400

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