Question
A seller sold an item at a loss of 22%. If he had sold
it for Rs. 2,200 more, then he would have earned a profit of 18%. 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 18% profit = 1.18 X 100x = Rs. (0.78 X 100x + 2200) Or, 118x = 78x + 2200 Or, 118x - 78x = 2200 Or, 40x = 2200 So, x = (2200/40) = 55 Therefore, the cost price of the item = 100x = 100 X 55 = Rs. 5,500
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