Average marks of 120 students are 35. If average of passed students was 39 and failed students was 1

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The average marks of $120$ students are $35.$ If average of passed students was $39$ and failed students was $15,$ then Find the number of students who have passed?

A

$80$

B

$100$

C

$120$

D

$140$

Solution

Let the no of passed student $= x$

According to the question

$x \times 39+15(120-x)=120 \times 35$

$39 x-15 x=4200-1800$

$24 x=2400 \Rightarrow x=100$

Hence no of passes student is $100 .$

Standard 13

Quantitative Aptitude

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