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    Question

    The average age of (x + 6) students is 14 years. When a

    36-year-old principal joins, the average age increases by 1 year. Find x% of 500.
    A 75 Correct Answer Incorrect Answer
    B 85 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer
    E 70 Correct Answer Incorrect Answer

    Solution

    Total age of students = 14(x + 6)
    According to question,
    [14(x + 6) + 36] = (15)(x + 6 + 1)
    14x + 84 + 36 = 15x + 105
    15x - 14x = 120 - 105
    x = 15
    So, 15% of 500 = 75

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