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 ?
A. 5 percent
B. 8 percent
C. 10 percent
D. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & n\left( A \right) = 90 \cr & n\left( B \right) = 15 \cr & n\left( {A \cup B} \right) = 100 \cr & {\text{So, }} \cr & {\text{n}}\left( {A \cap B} \right) \cr & = n\left( A \right) + n\left( B \right) - n\left( {A \cup B} \right) \cr & = 90 + 15 - 100 \cr & = 5 \cr} $$∴ Percentage of people who own both = 5%
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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