Question
The average cost price of
articles 'P' and 'Q' together is Rs. 280, where the cost price of article 'Q' is Rs. 40 more than that of article 'P'. If articles 'P' and 'Q' are sold at a profit of 20% and 15%, respectively, then find the difference between their selling prices.Solution
ATQ,
Let the cost price of article 'P' = Rs. 10x. Then, the cost price of article 'Q' = Rs. 10x+40. Sum of the cost prices of articles 'P' and 'Q' = 10x+10x+40=20x+40. Given average cost price = Rs. 280, 
Cost price of article 'P' = Rs.10x=260. Cost price of article 'Q' = Rs.10x+40=300. Selling price of article 'P' = 260×1.2=Rs.312. Selling price of article 'Q' = 300×1.15=Rs.345. Difference between their selling prices = 345−312=Rs.33.
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