In a survey of a city, it was found that 90 percent of the people in…

Question

In a survey of a city, it was found that 90 percent of the people in the city own a refrigerator and 15 percent own a washing machine. If everybody owns at least one appliance, what percentage owns both ?

Accepted Answer

Option A. 5 percent. Answer & Solution Answer: Option A Solution: & n ( A ) = 90 & n ( B ) = 15 & n ( A B ) = 100 & So, & n ( A B ) & = n ( A ) + n ( B ) - n ( A B ) & = 90 + 15 - 100 & = 5 ∴ Percentage of people who own both = 5%