In a class,60 % of the students pass in Hindi | vedclass

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(B) Let $H$ be the set of students who passed in Hindi and $S$ be the set of students who passed in Sanskrit.Given: $n(H) = 60 \%$,$n(S) = 45 \%$,and

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) Let $H$ be the set of students who passed in Hindi and $S$ be the set of students who passed in Sanskrit.Given: $n(H) = 60 \%$,$n(S) = 45 \%$,and $n(H \cap S) = 25 \%$.The percentage of students who passed in at least one subject is given by the formula: $n(H \cup S) = n(H) + n(S) - n(H \cap S)$.$n(H \cup S) = 60 \% + 45 \% - 25 \% = 80 \%$.The percentage of students who failed in both subjects is the complement of those who passed in at least one subject.Percentage failing in both $= 100 \% - n(H \cup S) = 100 \% - 80 \% = 20 \%$.

In a class,$60 \%$ of the students pass in Hindi and $45 \%$ pass in Sanskrit. If $25 \%$ of them pass in both subjects,what percentage of the students fail in both subjects?

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