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      Question

      The average cost price of

      articles 'P' and 'Q' together is Rs. 280, where the cost price of article 'Q' is Rs. 40 more than that of article 'P'. If articles 'P' and 'Q' are sold at a profit of 20% and 15%, respectively, then find the difference between their selling prices.
      A Rs.33 Correct Answer Incorrect Answer
      B Rs.22 Correct Answer Incorrect Answer
      C Rs.11 Correct Answer Incorrect Answer
      D Rs.66 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

       Let the cost price of article 'P' = Rs. 10x. Then, the cost price of article 'Q' = Rs. 10x+40. Sum of the cost prices of articles 'P' and 'Q' = 10x+10x+40=20x+40. Given average cost price = Rs. 280,

      Cost price of article 'P' = Rs.10x=260. Cost price of article 'Q' = Rs.10x+40=300. Selling price of article 'P' = 260×1.2=Rs.312. Selling price of article 'Q' = 300×1.15=Rs.345. Difference between their selling prices = 345−312=Rs.33.

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