Question
A trader purchased two items, 'X' and 'Y', at the same
price. He sold item 'X' at a 30% gain and item 'Y' at a 15% loss, and made a total profit of Rs. 90. What would be the selling price of item 'X' if it had been sold at a 20% gain?Solution
ATQ, Let cost price of each item = Rs. 100x
Selling price of item 'X' = 100x × 1.30 = Rs. 130x
Selling price of item 'Y' = 100x × 0.85 = Rs. 85x
According to the question,
130x + 85x - 2 × 100x = 90
215x - 200x = 90
15x = 90
x = 90 ÷ 15
x = 6
So, the selling price of item 'X' at 20% gain = 120 × 6 = Rs. 720
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