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
40%
20%
80%
60%
A
20%
B
80%
C
40%
D
60%
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Solution
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Let there are x boys and y girls then
According to the given condition-
52x+42y=50(x+y)
52x+42y=50x+50y
2x=8y
x=4y.
Hence, total number of students =x+y=4y+y=5y.
% of Boys in the class =4y5y×100=80%
∴ the percentage of boys in the class is 80%.
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