Question

The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 15, the number of candidates who passed the examination are?

(a)100
(b)110
(c)120
(d)150

⚠Required full calculation ​

Answer 1

no of students=120

let passed students=x

no of failed students=120-x

avg of passed=39

avg of failed=15

net avg=35

so

x(39)+120-x(15)=35*120

39x+1800-15x=4200

24x=2400

x=100

therefore 100 students passed

(btw the class is intelligent....XD)

Answer 2

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The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 15, the number of candidates who passed the examination are?

(a)100

(b)110

(c)120

(d)150

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Let the number of the passed candidates=x.

Then the number of the failed candidates=120-x.

Now the total of the marks obtained by 120 candidates=120×35=4200.

The total of the marks obtained by passed candidates=39×x=39x. and

the total of the marks obtained by failed candidates=(120−x)×15=4200.

Then the total=39x+(120−x)×15=4200

⟹24x=4200−1800

⟹x=100

So the number of passed candidates=100.

Answer: Option (A)100

 

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HENCE, Verified