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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 тАУ 12x = 78 тАУ 52
    x = 26
    So, 26% of 400 = 104

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