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?

A) 5% B) 15% C) 25% D) 35% E) 45%

Answer 1

The answer is option A : 5%

Explanation:

We have the following information in percentage:

Employees taking winter vacation= 75

Employees taking both winter and summer vacation= 40

Employees taking none vacation = 20

We can assume the situation as following:

Winter + Summer - Both + Neither = 100

We get;

75 + Summer - 40 + 20 = 100

So, summer = 45

45 people take vacations in summer. But 40 of them take vacation in winters too.

So, people taking vacations in summer but not winter means summer only.

This is :
`45-40=5`%

Therefore, the answer is option A : 5%