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ATQ,
Let the cost price of article 'M' = Rs. '10x'
Then, cost price of article 'N' = Rs. (10x + 100)
Sum of cost price of articles 'M' and 'N' = 10x + 10x + 100 = Rs. (20x + 100) = 500 × 2
Or, 20x + 100 = 1000
Or, 20x = 900
Or, x = 45
Cost price of articles 'M' and 'N' are Rs. 450 and Rs. 550, respectively
Selling price of article 'M' = 450 × 1.15 = Rs. 517.5
Selling price of article 'N' = 550 × 1.1 = Rs. 605
Required difference = 605 - 517.5 = Rs. 87.5
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