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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 ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& n\left( A \right) = 90 \cr
& n\left( B \right) = 15 \cr
& n\left( {A \cup B} \right) = 100 \cr
& {\text{So, }} \cr
& {\text{n}}\left( {A \cap B} \right) \cr
& = n\left( A \right) + n\left( B \right) - n\left( {A \cup B} \right) \cr
& = 90 + 15 - 100 \cr
& = 5 \cr} $$
∴ Percentage of people who own both = 5%
∴ Percentage of people who own both = 5%
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