Question

survey shows that 80% of the Indians like apples, whereas 53% like oranges. What percent of Indians like both
apples and oranges ?
​

Answer 1

$Given \: Number \: of \: Indian's \: like\:apples$

$n(A) = 80\%$

$Number \: of \: Indian's \: like\: Oranges$

$n(O) = 53\%$

$Percent \: of \:Total \: Indians \:n( A\cup O) = 100$

$Let \: Percent \: of \: Indians \: like \: both$

$apples \:and \: Oranges = n( A\cap O )$

/* We know that */

$\boxed{\pink{ n(A\cap O) = n(A) + n(O) - n( A\cup O) }}$

$\implies n(A\cap O) = 80 + 53 - 100$

$= 133 - 100$

$= 33%$

Therefore.,

$\red{Percent \: of \: Indians \: like \: both }$

$\red{apples \:and \: Oranges}$

$\green{ = 33\%}$

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