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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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 body in the class is
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Let the number of boys and girls be x and y
According to the question,
⇒ 52x+42y=50(x+y)
⇒ 52x+42y=50x+50y
⇒ 52x−50x=50y−42y
⇒ 2x=8y
∴ x=4y ------ ( 1 )
Total number of students in the class =x+y
=4y+y [ From ( 1 ) ]
=5y
Percentage of boys =
5y/4y×100
=80%
I hope its'help you
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Answer:
55.31%
hope it helps . thanku
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