Question
The ratio of cost prices of two articles ‘A’ and
‘B’ is 12:11 respectively and the average cost price of articles ‘A’ and ‘B’ is Rs. 2300. If articles ‘A’ and ‘B’ are sold at profit of 30% and profit of Rs. 500 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. 12y and Rs. 11y respectively Sum of cost price of articles ‘A’ and ‘B’ = 2300 × 2 = 4600 => 12y + 11y = 4600 => 23y = 4600 => y = 200 So, cost price of article ‘A’ = 12y = Rs. 2400 Cost price of article ‘B’ = 11y = Rs. 2200 Selling price of article ‘A’ = 2400 × (130/100) = Rs. 3120 Selling price of article ‘B’ = 2200 + 500 = Rs. 2700 So, average selling price of given two articles = (3120 + 2700) ÷ 2 = Rs. 2910
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