In an examination,65 % of students passed in | vedclass

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(A) Let the total number of students be $100 \%$.Percentage of students who passed in Civics $(C) = 65 \%$.Percentage of students who passed in Histor

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(A) Let the total number of students be $100 \%$.Percentage of students who passed in Civics $(C) = 65 \%$.Percentage of students who passed in History $(H) = 60 \%$.Percentage of students who passed in both $(C \cap H) = 40 \%$.Percentage of students who passed in at least one subject $(C \cup H) = P(C) + P(H) - P(C \cap H) = 65 \% + 60 \% - 40 \% = 85 \%$.Percentage of students who failed in both subjects $= 100 \% - 85 \% = 15 \%$.Given that $15 \%$ of the total students $= 90$.Therefore,$1 \% = \frac{90}{15} = 6$.Total number of students $(100 \%) = 6 	imes 100 = 600$.

In an examination,$65 \%$ of students passed in Civics and $60 \%$ in History,while $40 \%$ passed in both of these subjects. If $90$ students failed in both History and Civics,then what is the total number of students?

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