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70% of the employees in a firm are men. 30% of men and 20% of women employees opt for voluntary retirement. What is the percentage of the total number
Question

70% of the employees in a firm are men. 30% of men and 20% of women employees opt for voluntary retirement. What is the percentage of the total number of employees continue in service?

A.

70%

B.

27%

C.

30%

D.

73%

Correct option is D

Solution:

Let the total number of employees in the firm be 100
Number of men = 100 × (70/100) = 70
Number of women = 100 – 70 = 30
Number of men who continue in service = 70 × (70/100) = 49
Number of women who continue in service = 30 × (80/100) = 24
Total number of employees who continue in service = 49 + 24 = 73
Percentage of the total number of employees continue in service= (73/100) × 100 = 73%

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