Q. A garden has only red,green and white flowers. 60% of the flowers have red colours,30% have green colours and 50% have white colours. If no glowers has all the three colours , what percentage of the flowers have only 1 colours?

• n(R U G U W)=100, n(R ∩ G ∩ W)=0
  n(R)=60, n(G)=30, n(W)=50
  
  n(R U G U W)=n(R)+n(G)+n(W)- n(R∩G)-n(G∩W)- n(W∩R)+n(R∩G∩W)
  => n(R∩G)+n(G∩W)+n(W∩R)=n(R)+n(G)+n(W)-n(R U G U W)+n(R∩G∩W)=60+30+50-100+0=40
  
  only(R)=n(R)-n(R∩W)-n(R∩G)
  only(G)=n(G)-n(R∩G)-n(W∩G)
  only(W)=n(W)-n(R∩W)-n(W∩G)
  ------------------------------------------------------------------------
  adding => only(R)+only(G)+only(W)=n(R)+n(G)+n(W)-2[n(R∩G)+n(G∩W)+n(W∩R)]
  => only(R)+only(G)+only(W)=60+30+50-2*40=60
  
  SO 60% of the flowers have only 1 colour
• 10 years agoHelpfull: Yes(41) No(0)
• Let the total no. of flowers is 100 and the no. of flowers having 2 colors is X (red+green OR green+yellow OR red+yellow)
  
  There is no flower that has all 3 colors.
  
  100 = 60+30+50 - X
  
  X= 40.
  
  So no. of flowers having only one color = 100-40
  = 60
• 10 years agoHelpfull: Yes(11) No(10)
• anyone give the correct answer
• 10 years agoHelpfull: Yes(4) No(0)
• a+b+c=180
  a+7b=155
  
  then c=25+6b
  then by putting b=1 to b=10
  the range of c will be---
  85>c>30
• 10 years agoHelpfull: Yes(1) No(5)
• It can be 50%.
  exp- consider 60% red out of 100%.
  rest is 40%, out of which consider 30% green.
  rest is 10%, this can be white.
  10% of which are done rest is 40%. consider 30% of white to be included in green
  and rest 10% to be included in red. hence oly red can be of 50%.
• 10 years agoHelpfull: Yes(0) No(3)