Question
The ratio of cost prices of two articles ‘A’ and
‘B’ is 7:3 respectively and the average cost price of articles ‘A’ and ‘B’ is Rs. 1200. If articles ‘A’ and ‘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?Solution
Let the cost price of articles ‘A’ and ‘B’ be Rs. 7y and Rs. 3y respectively Sum of cost price of articles ‘A’ and ‘B’ = 1200 × 2 = 2400 => 7y + 3y = 2400 => 10y = 2400 => y = 240 So, cost price of article ‘A’ = 7y = Rs. 1680 Cost price of article ‘B’ = 3y = Rs. 720 Selling price of article ‘A’ = 1680 × (122.5/100) = Rs. 2058 Selling price of article ‘B’ = 720 + 250.5 = Rs. 970.5 So, average selling price of given two articles = (2058 + 970.5) ÷ 2 = Rs. 1514.25
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