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    Question

    A shopkeeper buys a total of 27 items, consisting of tables

    and chairs. The cost price ratio of one table to one chair is 20:9. Each table is sold at a 25% profit, while each chair is sold at a 25% loss. If the overall profit percentage on the entire transaction is 7%, how many chairs did the shopkeeper sell?
    A 9 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer
    E 15 Correct Answer Incorrect Answer

    Solution

    Let number of tables and chairs sold is 'x' and '27 - x' respectively.

    Let CP of 1 table and 1 chair is 20a and 9a respectively.

    CP of 'x' tables = x * 20a = 20ax

    CP of '27 - x' chairs = (27 - x) * 9a = (243 - 9x)a

    SP of 'x' tables = 125% of 20ax = 25ax

    SP of '27 - x' chairs = 75% of (243 - 9x)a = (182.25 - 6.75x)a

    According to the question:

    25ax + (182.25 - 6.75x)a = 107% of [20ax + (243 - 9x)a]

    25x + 182.25 - 6.75x = 21.4x + 260.01 - 9.63x

    6.48x = 77.76

    x = 12

    Total chairs sold = 27 - x = 15

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