Average of marks obtained by 120 candidates in a certain examination is 35 . If average marks obtain

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The average of marks obtained by $120$ candidates in a certain examination is $35 .$ If the average marks obtained by passed candidates are $39$ and those of the failed candidates are $15,$ then what is the number of candidates who passed the examination?

A

$100$

B

$120$

C

$150$

D

$140$

Solution

Let the passed condidate be $x$

failed condidate be $120- x$ ,

$39 x+15(120-x)=120 \times 35 \Rightarrow 24 x=4200-1800$

$x=\frac{2400}{24}=100$ students

Standard 13

Quantitative Aptitude

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