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      Question

      Ratio of cost price of article ‘X’ and article

      ‘Y’ is 4:7, respectively. Profit percentage earned on selling article ‘X’ is same as loss percentage incurred on selling article ‘Y’. Total selling price of both the articles is Rs. 20800. If average of cost price of both the articles is Rs. 11000, then find the difference between their selling prices.
      A Rs. 1200 Correct Answer Incorrect Answer
      B Rs. 1400 Correct Answer Incorrect Answer
      C Rs. 1600 Correct Answer Incorrect Answer
      D Rs. 1800 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total cost price of articles ‘X’ and ‘Y’ together
      = 11000 × 2 = Rs. 22000 Cost price of article ‘X’
      = 4/11 × 22000 = Rs. 8000 Cost price of article ‘Y’
      = 22000 – 8000 = Rs. 14000 Let profit percentage earned on selling article ‘X’ is x%. So, 8000 × (1 + x/100) + 14000 × (1 – x/100) = 20800 Or, 8000 + 80x + 14000 – 140x = 20800 Or, 22000 – 60x = 20800 Or, 60x = 1200 Or, x = 20 So, desired difference
      = 1.20 × 8000 – 0.80 × 14000
      = 9600 – 11200
      = Rs. 1600

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