Out of 75 children, playing badminton or table tennis or both, total number of girls playing in the group is 50% of the total number of boys in the group. The number of boys playing only badminton is 60% of the number of boys and the total number of boys playing badminton is 70% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 10 children play both badminton and table tennis. What is the number of girls playing only badminton?
a) 5
b) 15
c) 20
d) 10

• ans (a)
  let boys=x,gilrs=x/2 x+x/2=75,boys=50,girls=25,boys only bm=60% of 50=30
  all boys plying bm=70%of 50=35,so boys playing both=35-30=5
  so boys playing tt=50-(30+5)=15,
  40%of75 playing tt=30,so girls playing tt=15,10 children playing both so girls playing both=5...(10-5 boys playing both) so required girls=25-(15+5 girls plying both)=5 ans
• 10 years agoHelpfull: Yes(14) No(1)
• no of boys =50
  no of girls=25
  no of boys playing =70%of 50 =35
  no of boys playing only badminton =60%of 50 =30
  no of boys playing TT(either both or only)=50-30=20
  no of boys playing both =35-30=5
  no of girls playing both game=10-5=5
  no of girls playing tt=30-20=10
  remaining girls =25-10=15
  ans is option b
  
• 10 years agoHelpfull: Yes(0) No(1)
• 40% of 75 = 30 playing tennis so 15 girls playing tt 30% of x=15 ==> x=50 no. of girls= 75-55=25-5=20
• 10 years agoHelpfull: Yes(0) No(0)