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      Question

      The sum of two numbers, x and y, is 640. If x is reduced by

      8% and y is raised by 12%, the two values become equal. Determine the value of y.
      A 232 Correct Answer Incorrect Answer
      B 209 Correct Answer Incorrect Answer
      C 3501 Correct Answer Incorrect Answer
      D 288 Correct Answer Incorrect Answer

      Solution

      ATQ,

      x + y = 640 ……(i)

      ATQ,

      0.92 × x = 1.12 × y

      Or, x = (1.12/0.92) × y

      So, x = (28y/23)

      Put the value of ‘x’ in equation (i), we get,

      (28y/23) + y = 640

      Or, (51y/23) = 640

      Or, y = 640 × (23/51)

      So, y = 288

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