Percentage

datonman wrote:A company consists of two departments: sales and production. If 30 percent of the 150 employees in the sales department received a holiday bonus and 70 percent of the 250 employees in the production department received a holiday bonus, what percent of all employees did not receive a holiday bonus?

A 40%
B 45%
C 50%
D 55%
E 60%

30 percent of the 150 employees in the sales department received a holiday bonus
This means that 70% of the 150 employees did NOT receive a holiday bonus
70% of 150 = 105,
So, 105 sales people did NOT get a bonus

70 percent of the 250 employees in the production department received a holiday bonus
This means that 30% of the 250 employees did NOT receive a holiday bonus
30% of 250 = 75,
So, 75 production people did NOT get a bonus


Total # of people who did not get a bonus = 105 + 75 = 180
Total # of people in the entire company = 150 + 250 = 400

Percent of all employees who did not receive a holiday bonus = (100)(180)/400
= [spoiler]45%[/spoiler]
= B

Cheers,
Brent[/b]