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      Question

      The average cost price of articles 'P' and 'Q' together is

      Rs. 300 where the cost price of article 'Q' is Rs. 50 more than that of article 'P'. If articles 'P' and 'Q' are sold at profit of 20% and profit of 15%, respectively, then find the difference between their selling prices.
      A Rs.50.05 Correct Answer Incorrect Answer
      B Rs.62.55 Correct Answer Incorrect Answer
      C Rs.43.75 Correct Answer Incorrect Answer
      D Rs.25.22 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of article 'P' = Rs. '10x'

      Then, cost price of article 'Q' = Rs. (10x + 50)

      Sum of cost price of articles 'P' and 'Q' = 10x + 10x + 50 = Rs. (20x + 50) = 300 × 2

      Or, 20x + 50 = 600

      Or, 20x = 550

      Or, x = 27.5

      Cost price of articles 'P' and 'Q' are Rs. 275 and Rs. 325, respectively

      Selling price of article 'P' = 275 × 1.2 = Rs. 330

      Selling price of article 'Q' = 325 × 1.15 = Rs. 373.75

      Required difference = 373.75 - 330 = Rs. 43.75

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