In a large organization,55% of all employees are female,25% of the employees have a business degree,and 40% of all males have a business degree.What is the percentage of employees who are female with a business degree?
A)2%
B)5%
C)7%
D)9%
E)11%

Question

Quizplus · Accepted Answer

We know that 55% of all employees are female and 25% of all employees have a business degree.

Let's assume there are a total of 100 employees in the organization:

- 55 employees are female (55% of 100)
- 25 employees have a business degree (25% of 100)

We also know that 40% of all males have a business degree.

Let's assume there are a total of 45 males in the organization:

- 45*(40/100) = 18 males have a business degree
- 45*(60/100) = 27 males do not have a business degree

Now let's combine the information to find the percentage of female employees who have a business degree:

- Out of the total of 100 employees, 25 have a business degree.
- Out of the 25 employees with a business degree, 18 are male and 7 are female (since 25-18=7)
- So 7% of all employees (male and female) have a business degree and are female.

In a Large Organization,55% of All Employees Are Female,25% of the Employees