Question
A shopkeeper purchased three items 'X', 'Y', and 'Z' at
the same price. He sold item 'X' at a 10% profit, item 'Y' at a 15% loss, and item 'Z' at a 30% profit. If he earns an overall profit of Rs. 570, then find the selling price of item 'Y'.Solution
ATQ, Let the cost price of each item be Rs. '100z'. So, the total cost price of 'X', 'Y' and 'Z' together = 3 X 100z = Rs. '300z' ATQ, (0.10 - 0.15 + 0.30) X 100z = 570 Or, 'z' = (570/25) = 22.8 Therefore, the selling price of 'Y' = 0.85 X 100z = 85 X 22.8 = Rs. 1938
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