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    Question

    The combined cost price of two items, A and B, is

    ₹1,120. Item A is marked up by 25%, and item B by 40%. Both are sold with a 10% discount on their marked price. The total selling price of both items is ₹1,338.30. Determine the cost price of item A.
    A Rs. 540 Correct Answer Incorrect Answer
    B Rs. 490 Correct Answer Incorrect Answer
    C Rs. 380 Correct Answer Incorrect Answer
    D Rs. 580 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of article 'A' be Rs. 'p'. So, cost price of article 'B' = Rs. (1,120 - p) Mark price of article 'A' = Rs.1.25p Marked price of article 'B' = 1.4 X (1,120 - p) = Rs. (1,568 - 1.4p) Selling price of article 'A' = 0.9 X 1.25p = Rs. 1.125p Selling price of article 'B' = 0.9 X (1,568 - 1.4p) = Rs. (1,411.2 - 1.26p) ATQ, 1.125p + 1,411.2 - 1.26p = 1,338.3 Or, 0.135p = 72.9 Or, 'p' = 540 Therefore, cost price of article 'A' is Rs. 540.

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