Question
A seller sold an item at a loss of 20%. If he had sold
it for Rs. 1,800 more, then he would have earned a profit of 10%. 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 10% profit = 1.10 X 100x = Rs. (0.80 X 100x + 1800) Or, 110x = 80x + 1800 Or, 110x - 80x = 1800 Or, 30x = 1800 So, x = (1800/30) = 60 Therefore, the cost price of the item = 100x = 100 X 60 = Rs. 6,000
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