Question
Two items, ‘X’ and ‘Y’, were sold for Rs. 3200
each. The profit on item ‘X’ is equal to the loss on item ‘Y’. If the cost price of item ‘X’ is Rs. 1800 less than that of item ‘Y’, then determine the cost price of item ‘X’.Solution
ATQ, Let cost price of item Y = y  Then cost price of item X = y − 1800  Selling price of both = 3200  Profit on X = 3200 − (y − 1800) = 5000 − y  Loss on Y = y − 3200  Given: Profit on X = Loss on Y  ⇒ 5000 − y = y − 3200  ⇒ 8200 = 2y  ⇒ y = 4100  Cost price of X = y − 1800 = 4100 − 1800 = ₹2300
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