Let's assume the total number of employees to be 100x.
Now, form the 2 set matrix.
Let's start with the last sentence that 40% of employees are female so we get 40x employees as female, out of which 50% have an MBA so 20x have an MBA and 20x do not.
Since, 40% of the total employees are female so 60x employees are male out of which 30% of have an MBA so 70% do not have an MBA
So,\(\frac{70}{100} \times 60x = 42x\)
Total number of people who do not have an MBA = \(42x + 20x = 62x\)
| MBA | not MBA |Total
------|------|---------|-----
Male | 18x | 42x | 60x
------|------|---------|-----
Female| 20x | 20x | 40x
------|------|---------|-----
Total | 38x | 62x | 100x
Percentage of employees who do not have an MBA = \(\frac{62x}{100x} \times 100 = 62%\)
OA, Dhuda wrote:
At a certain company, 30 percent of the male employees and 50 percent of the female employees have an MBA. If 40 percent of the employees are female, what percent of the employees do not have an MBA?
A. 38
B. 52
C. 54
D. 62
E. 85