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    A bag has red and blue balls in the ratio 4 : 5. If the total number of balls is 81, then find the number of blue balls.
    Question

    A bag has red and blue balls in the ratio 4 : 5. If the total number of balls is 81, then find the number of blue balls.

    A.

    90

    B.

    45

    C.

    20

    D.

    40

    Correct option is B

    Given:

    The ratio of red to blue balls = 4:5

    Total number of balls = 81

    Concept Used:

    If the ratio of two quantities is a:b, then their actual values can be found using the formula:

    Total=a+ b

    Each part=TotalSum of ratio terms×Respective ratio term\text{Each part} = \frac{\text{Total}}{\text{Sum of ratio terms}} \times \text{Respective ratio term}​​

    Solution:

    Total parts in the ratio:

    4+5=9

    Each part value:

    819=9\frac{81}{9} = 9​​

    Number of blue balls:

    5×9=45

    Option (B) is right.

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