Question
A seller sold an item at a loss of 25%. If he had sold
it for Rs. 1,500 more, then he would have earned a profit of 15%. Find the cost price of the item.Solution
ATQ, Let, the cost price of the item be Rs. '100x'. ATQ, Selling price of the item sold at 15% profit = 1.15 X 100x = Rs. (0.75 X 100x + 1500) Or, 115x = 75x + 1500 Or, 115x - 75x = 1500 Or, 40x = 1500 So, x = (1500/40) = 37.5 Therefore, the cost price of the item = 100x = 100 X 37.5 = Rs. 3,750
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