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Question

in a school, average score of girls is 65 and that of boys is 71.if the average of school(boys and girls)is 68 then the ratio of boys to girls is

A
2:1
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B
1:2
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C
3:1
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D
1:1
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Solution

The correct option is D 1:1
Let the number of boys=x
number of girls=y
The average score of boys =71
total score of boys=71x
The average score of girls =65
total score of girls =65y
total marks of school =71x+65y ....(i)
The average score of school=68
so total marks =68(x+y)........(ii)
from(i)and(ii)
71x+65y=68x+68y
3x=3y
xy=11
HenceRatioofboysandgirlsis1:1

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