Question
The average cost price of articles 'X' and 'Y' together is
Rs. 400 where the cost price of article 'Y' is Rs. 80 more than that of article 'X'. If articles 'X' and 'Y' are sold at profit of 10% and profit of 20%, respectively, then find the difference between their selling prices.Solution
ATQ,
Let the cost price of article 'X' = Rs. '10x'
Then, cost price of article 'Y' = Rs. (10x + 80)
Sum of cost price of articles 'X' and 'Y' = 10x + 10x + 80 = Rs. (20x + 80) = 400 × 2
Or, 20x + 80 = 800
Or, 20x = 720
Or, x = 36
Cost price of articles 'X' and 'Y' are Rs. 360 and Rs. 440, respectively
Selling price of article 'X' = 360 × 1.1 = Rs. 396
Selling price of article 'Y' = 440 × 1.2 = Rs. 528
Required difference = 528 - 396 = Rs. 132
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