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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. 2100 Correct Answer Incorrect Answer
    D Rs. 2000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of item ‘X’ be Rs. x

    Therefore, cost price of item ‘Y’ = Rs. (x + 1800)

    According to the question,

    3200 – x = x + 1800 – 3200

    Or, 2x = 4200

    Or, x = 2100

    Therefore, cost price of item ‘X’ = Rs. 2100

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