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    Question

    Identify x such that x% of 540 plus {1080 ÷ x of 9} × 6

    gives 162
    A 25 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    x% of 540 + {1080 ÷ x of 9} × 6 = 162

    Or, 5.4x + 540/x = 162

    Or, Multiply both sides by 10:

    54x + 5400/x = 1620

    Or, x² – 30x + 180 = 0

    Or, x² – 18x – 12x + 180 = 0

    Or, x(x – 18) – 12(x – 18) = 0

    Or, (x – 12)(x – 18) = 0

    Or, x = 12 or x = 18

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