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

Summer vacation but not winter vacation = 5 %

so correct option is A) 5%

Step-by-step explanation:

given data

winter vacation = 75 %

winter and a summer vacation = 40%

neither a winter nor a summer vacation = 20%

to find out

what percent of the employees take a summer vacation but not a winter vacation

solution

we know that total is 100 % so

Winter vacation + Summer vacation - Both vacation + Neither vacation = 100 % ......................1

put here value we get

Winter vacation + Summer vacation - Both vacation + Neither vacation = 100 %

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

summer vacation = 45 %

so we get now Summer vacation but not winter vacation that is

Summer vacation but not winter vacation = Summer vacation - both winter and a summer vacation ...................2

Summer vacation but not winter vacation = 45% - 40 %

Summer vacation but not winter vacation = 5 %

so correct option is A) 5%