Question
The profit earned by selling an article for Rs. 6,250 is
4/9th the loss incurred on selling the same article for Rs. 3,500. Find the selling price of the article if the article is sold at a profit of 35%.Solution
ATQ, Let the cost price of the article be Rs. 'C'. Profit earned = Rs. (6,250 - C) Loss incurred = Rs. (C - 3,500) ATQ; 6,250 - C = (4/9) X (C - 3,500) Or, 9 X (6,250 - C) = 4 X (C - 3,500) Or, 56,250 - 9C = 4C - 14,000 Or, 13C = 70,250 So, 'C' = 5,404 Required selling price = (135/100) X 5,404 = Rs.7,295.40
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