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      Question

      The average Cost Price of two items P and Q is Rs. 500.

      P and Q are sold at 15% and 25% profit respectively. If the total Selling Price of P and Q is Rs. 1,185, then find the Cost Price of Q.
      A Rs.220 Correct Answer Incorrect Answer
      B Rs.350 Correct Answer Incorrect Answer
      C Rs.385 Correct Answer Incorrect Answer
      D Rs.475 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total CP of P and Q together = 500 Γ— 2 = Rs. 1,000
      Let CP of P = x β‡’ CP of Q = (1,000 – x)
      ATQ:
      115% of x + 125% of (1,000 – x) = 1,185
      1.15x + 1,250 – 1.25x = 1,185
      –0.10x = –65
      x = 650
      CP of Q = 1,000 – 650 = Rs. 350

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