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      Question

      The average age of (x + 2) students of a class is 14 years.

      If the 56 years old class teacher is also included then average age of the class gets increased by three years. Find x% of 200.
      A 18 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 22 Correct Answer Incorrect Answer
      D 24 Correct Answer Incorrect Answer
      E 26 Correct Answer Incorrect Answer

      Solution

      Total age of students = 14(x + 2) years
      According to question,
      [14(x + 2) + 56] = (14 + 3)(x + 2 + 1)
      14x + 28 + 56 = 17x + 51
      17x – 14x = 84 – 51
      x = 11
      So, 11% of 200 = 22

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