Question
The ratio of cost prices of two articles ‘A’ and
‘B’ is 4:5 respectively and the average cost price of articles ‘A’ and ‘B’ is Rs. 6300. If articles ‘A’ and ‘B’ are sold at profit of 20.5% and profit of Rs. 600 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. 4y and Rs. 5y respectively Sum of cost price of articles ‘A’ and ‘B’ = 6300 × 2 = 12600 => 4y + 5y = 12600 => 9y = 12600 => y = 1400 So, cost price of article ‘A’ = 4y = Rs. 5600 Cost price of article ‘B’ = 5y = Rs. 7000 Selling price of article ‘A’ = 5600 × (120.5/100) = Rs. 6748 Selling price of article ‘B’ = 7000 + 600 = Rs. 7600 So, average selling price of given two articles = (6748 + 7600) ÷ 2 = Rs. 7174
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