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    Question

    Two items, ‘X’ and ‘Y’, were each sold for Rs.

    2500. Item ‘X’ was sold at a 20% loss, while Item ‘Y’ was sold at a 25% profit. If the average cost price of Items ‘X’, ‘Y’, and ‘Z’ is Rs. 2400, determine the cost price of Item ‘Z’.
    A Rs. 3075 Correct Answer Incorrect Answer
    B Rs. 1075 Correct Answer Incorrect Answer
    C Rs. 2075 Correct Answer Incorrect Answer
    D Rs. 2665 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; Cost price of article ‘A’ = 2500/0.8 = Rs. 3125 Cost price of article ‘B’ = 2500/1.25 = Rs. 2000 Therefore, cost price of article ‘C’ = (2400 × 3) – 3125 – 2000 = Rs. 2075

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