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      Question

      The ratio of cost prices of two articles β€˜A’ and

      β€˜B’ is 7:3 respectively and the average cost price of articles β€˜A’ and β€˜B’ is Rs. 1200. If articles β€˜A’ and β€˜B’ are sold at profit of 22.5% and profit of Rs. 250.5 respectively, then what is the average selling price of the given two articles?
      A Rs. 1514.25 Correct Answer Incorrect Answer
      B Rs. 1014.25 Correct Answer Incorrect Answer
      C Rs. 1510.25 Correct Answer Incorrect Answer
      D Rs. 1514.75 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of articles β€˜A’ and β€˜B’ be Rs. 7y and Rs. 3y respectively Sum of cost price of articles β€˜A’ and β€˜B’ = 1200 Γ— 2 = 2400 => 7y + 3y = 2400 => 10y = 2400 => y = 240 So, cost price of article β€˜A’ = 7y = Rs. 1680 Cost price of article β€˜B’ = 3y = Rs. 720 Selling price of article β€˜A’ = 1680 Γ— (122.5/100) = Rs. 2058 Selling price of article β€˜B’ = 720 + 250.5 = Rs. 970.5 So, average selling price of given two articles = (2058 + 970.5) Γ· 2 =Β  Rs. 1514.25

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