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(C) Let the total number of candidates be $n$.The initial total marks = $60n$.When the marks of $80$ candidates are changed from $95$ to $70$,the redu

Vedclass · Accepted Answer

$400$

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(C) Let the total number of candidates be $n$.The initial total marks = $60n$.When the marks of $80$ candidates are changed from $95$ to $70$,the reduction in marks for each candidate is $(95 - 70) = 25$.The total reduction in marks for $80$ candidates is $80 	imes 25 = 2000$.The new total marks = $60n - 2000$.Given that the new average is $55$,the new total marks = $55n$.Equating the two expressions for the new total marks:$60n - 2000 = 55n$$60n - 55n = 2000$$5n = 2000$$n = 400$.Therefore,the total number of candidates is $400$.

In an examination,the average marks were found to be $60$. The marks of $80$ candidates had to be changed from $95$ to $70$ each,and the average came down to $55$ marks. The total number of candidates who attended the examination was:

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