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    Question

    The average of ‘x’ numbers is 20. If 65% of the numbers

    are decreased by 2 and the remaining numbers are increased by 5, then find the new average of the ‘x’ numbers.
    A 20.55 Correct Answer Incorrect Answer
    B 44.50 Correct Answer Incorrect Answer
    C 25.40 Correct Answer Incorrect Answer
    D 23.20 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of ‘x’ numbers = 20x

    New sum of the ‘x’ numbers = 20x – 0.65x × 2 + 0.35x × 5 = 20.55x

    Therefore, new average = 20.55x/x = 20.55

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