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    Question

    The average age of (x + 3) people in a group is 20 years.

    When a new member aged 43 joins, the average becomes 21. Find x% of 500.
    A 90 Correct Answer Incorrect Answer
    B 95 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 85 Correct Answer Incorrect Answer
    E 80 Correct Answer Incorrect Answer

    Solution

    Total age of group = 20(x + 3)
    According to question,
    [20(x + 3) + 43] = 21(x + 3 + 1)
    20x + 60 + 43 = 21x + 84
    21x - 20x = 103 - 84
    x = 19
    So, 19% of 500 = 95

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