Question

    The average of ‘x’ numbers is 30. If 50% of the numbers

    are decreased by 6 and the remaining numbers are increased by 8, then find the new average of the ‘x’ numbers.
    A 31 Correct Answer Incorrect Answer
    B 44 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of ‘x’ numbers = 30x

    New sum of the ‘x’ numbers = 30x – 0.5x × 6 + 0.5x × 8 = 31x

    Therefore, new average = 31x/x = 31

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