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      Question

      The average age of (x + 3) students of a class is 12 years.

      If the 42 years old class teacher is also included then average age of the class gets increased by one year. Find x% of 400.
      A 96 Correct Answer Incorrect Answer
      B 104 Correct Answer Incorrect Answer
      C 112 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer
      E 108 Correct Answer Incorrect Answer

      Solution

      Total age of students = 12(x + 3) years
      According to question,
      [12(x + 3) + 42] = (12 + 1)(x + 3 + 1)
      12x + 36 + 42 = 13x + 52
      13x – 12x = 78 – 52
      x = 26
      So, 26% of 400 = 104

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