Question
The profit earned by selling an article for Rs. 8,600 is
7/12th the loss incurred on selling the same article for Rs. 5,700. Find the selling price of the article if the article is sold at a profit of 40%.Solution
ATQ, Let the cost price of the article be Rs. 'C'. Profit earned = Rs. (8,600 - C) Loss incurred = Rs. (C - 5,700) ATQ; 8,600 - C = (7/12) X (C - 5,700) Or, 12 X (8,600 - C) = 7 X (C - 5,700) Or, 103,200 - 12C = 7C - 39,900 Or, 19C = 143,100 So, 'C' = 7,531.58 Required selling price = (140/100) X 7,531.58 = Rs. 10,544.21
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