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    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’.
    A Rs. 2150 Correct Answer Incorrect Answer
    B Rs. 1100 Correct Answer Incorrect Answer
    C Rs. 2300 Correct Answer Incorrect Answer
    D Rs. 2000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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