The average of marks obtained by 150 candidat | vedclass

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Question

(A) Let the number of candidates who passed be $x$.Then,the number of candidates who failed is $(150 - x)$.The total marks obtained by all candidates

Vedclass · Accepted Answer

$125$

Vedclass · Answer

(A) Let the number of candidates who passed be $x$.Then,the number of candidates who failed is $(150 - x)$.The total marks obtained by all candidates is $150 	imes 50 = 7500$.The sum of marks of passed candidates is $55x$.The sum of marks of failed candidates is $25(150 - x)$.According to the problem,the sum of marks of passed and failed candidates equals the total marks:$55x + 25(150 - x) = 7500$$55x + 3750 - 25x = 7500$$30x = 7500 - 3750$$30x = 3750$$x = 3750 / 30 = 125$.Therefore,the number of candidates who passed the examination is $125$.

The average of marks obtained by $150$ candidates in a certain examination is $50$. If the average marks of passed candidates is $55$ and that of the failed candidates is $25$,what is the number of candidates who passed the examination?

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