In a class of 60 students, the number of boys and girls
participating in the annual sports is in the ratio 3 : 2
respectively. The number of girls not participating in the
sports is 5 more than the number of boys not participating
in the sports. If the number of boys participating in the
sports is 15, then how many girls are there in the class?
(1) Data inadequate
(2) 20
(3) 25
(4) 30
(5) None of these
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Answer / satinder
let total no .of girls participating sports =y
no of boys participating in the sports =x=15
participating ratio =3:2
so x/y = 3/2
15/y = 3/2
15*2/3 = y
10 = y
now total no of student participating = x+y = 15+10 = 25
total no of student not participating = 60-25 = 35
let no of boy in class = P
let no of girl in class = P+5
total no of student in class = P+(P+5) = 35
2P = 35-5 = 30
P = 15
NO OF GIRL IN CLASS = P+5 = 15+5 = 20
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