Q.

The average marks of boys in a 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

40%

b

20%

c

80%

d

60%

answer is C.

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Detailed Solution

Let the number of boys and girls be r and y. ∴52x+42y=50(x+y)⇒52x+42y=50x+50y⇒2x=8y⇒x=4y∴ Total number of students in the class =x+y=4y+y=5y∴ Required percentage of boys =4y5y×100%=80%
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The average marks of boys in a 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