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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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