60 percent of the employees of a company are women and 75% of the wome...
let total employees are 100
males = 40 and females = 60 (45 women earns more than 20000)
total 60 employee earns more than 20000 per month, so number of males earns more than 20000 is 15
so fraction = 25/40 = 5/8
View all questions of this test60 percent of the employees of a company are women and 75% of the wome...
Understanding the Problem
To solve the problem, we need to break down the information provided and calculate the fraction of men earning less than 20000.
Given Information
- 60% of the employees are women.
- 75% of these women earn 20000 or more.
- 60% of the total employees earn more than 20000.
Calculating Total Employees
Assume the total number of employees is 100 (for simplicity).
- Number of women = 60% of 100 = 60 women.
- Number of men = 100 - 60 = 40 men.
Women Earning 20000 or More
- Women earning 20000 or more = 75% of 60 = 45 women.
Total Employees Earning More than 20000
- Total earning more than 20000 = 60% of 100 = 60 employees.
Finding Men Earning More than 20000
- Total earning more than 20000 = 60
- Women earning more than 20000 = 45
- Therefore, men earning more than 20000 = 60 - 45 = 15 men.
Calculating Men Earning Less than 20000
- Total men = 40
- Men earning less than 20000 = 40 - 15 = 25 men.
Finding the Fraction of Men Earning Less than 20000
- Fraction of men earning less than 20000 = Men earning less than 20000 / Total men = 25 / 40 = 5 / 8.
Thus, the answer is option 'A'.