Q.

The average marks of boys in class is 52 and that of girls is 42.the average marks of boys and girls combined is 50.the percentage of boys in the class is

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a

80

b

60

c

40

d

20

answer is A.

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Detailed Solution

Let the number of boys be x and that of girls be y. ⇒52x+42y=50(x+y) ⇒2x=8y⇒xy=41 and xx+y=45 Required  % of boys = xx+y×100 =45×100=80%
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The average marks of boys in class is 52 and that of girls is 42.the average marks of boys and girls combined is 50.the percentage of boys in the class is