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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

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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 (1) 40 (2) 20 (3) 80 (4) 60
A. 40
B. 20
C. 80
D. 60
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Correct Answer - C
52x+42y=50(x+y)
`implies 2x=8y`
`implies (x)/(y)=(4)/(1) " and" (x)/(x+y)=(4)/(5)`
The percentage of boys is 80.
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