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?

Given,

70% of the employees in a firm are men.

Let total number of employees = 100.

therefore, number of men = 70 and number of women = 30

30% of men and 20% of women employees opt for voluntary retirement,

$$70\times{\frac{30}{100}}$$ = 21 (number of men opt for voluntary retirement)

$$30\times{\frac{20}{100}}$$ = 6 (number of women opt for voluntary retirement)

Total number of employees opt for voluntary retirement is $$21+6 = 27$$

∴ Remaining employees is $$100 - 27 = 73$$. Hence 73% employees continue in service