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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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