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 Posted / s thirumala sai
Answer : option 4
boys_players : girl_player = 3:2 ----------> (1)
But, boys_players = 15 -------------------------> (2)
From (10 & (2) ,
3 parts = 15
2 parts = ? 10 [ (15/3)*2 ]
i.e; girl_players = 10
Total players (boys & girls) =15+10=25 (or find directly
for 7 parts)
Total non-players = 60-25=35
Let x be the number of girls who doesn't participated.
Then x + (x-5) = 35 [from the given data]
=> 2x-5=35
=>2x = 40
=> x=20
Total number of girls=playing girls + not playing girls
= 10 + 20
=30
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