a survey shows that 73 percent of the Indians like apples where as 65 percent like oranges what percent Indians like both apple and oranges
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Let the total number of people be 100x
Given 73% of total people like oranges =
100
73x
×100=73x
65% like oranges =
100
65
×100x=65x
P(A∪B)=P(A)+P(B)−P(A∩B)
P(A∩B)=P(A)+P(B)−P(A∪B)
=73x+65x−100x
=38x
Percentage of Indian like both apples and oranges =
100x
38x
×100=38%
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