Question

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?

Answer 1

Answer: 5%

Explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%