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    Question

    The average age of (x + 6) students of a class is 16 years.

    If the 40 years old class teacher is also included then average age of the class gets increased by one year. Find x% of 600.
    A 96 Correct Answer Incorrect Answer
    B 102 Correct Answer Incorrect Answer
    C 108 Correct Answer Incorrect Answer
    D 114 Correct Answer Incorrect Answer
    E 120 Correct Answer Incorrect Answer

    Solution

    Total age of students = 16(x + 6) years
    According to question,
    [16(x + 6) + 40] = (16 + 1)(x + 6 + 1)
    16x + 96 + 40 = 17x + 119
    17x – 16x = 136 – 119
    x = 17
    So, 17% of 600 = 102

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