in an election only two candidates contested. 20% of the voters are not vote and 120 votes are declared as invalid.the winner got 200 more votes than his opponent thus he secured 41% of the total voters on the voters list.find the percentage votes of defeated candidate out of the total votes cast?

• let x be the total no of voters.
  total no of valid votes=x-x/5-120=4x/5-120
  these votes are polled to winner and looser.
  w+l=4x/5-120.........>(1)
  from the probleem
  w-l=200.....>(2)
  from 1 and 2
  2l=4x/5-320
  
  l=2x/5-160
  
  total number of voters=votes polled to winner+votes polled to loser+x/5+120
  =41x/100+2x/5-160+x/5+120
  solve===>we get x as 4000
  loser/total votes cast=(2x/5-160)-(4x/5-120)==>50%-5% =45% is the req answer.
• 11 years agoHelpfull: Yes(14) No(2)
• 46.75
  percent=46.75
• 11 years agoHelpfull: Yes(1) No(4)
• 48.21%
  total votes=11200
  defeated persons votes=5400
  5400/11200*100=48.21%
• 11 years agoHelpfull: Yes(0) No(5)
• total vote-16000
  defeated persn vote-6760
  %-42.25
• 11 years agoHelpfull: Yes(0) No(3)
• 39%
  41%*(x)-39*(x)=200
  so
  x=10000
  
• 11 years agoHelpfull: Yes(0) No(3)
• total number of voters=votes polled to winner+votes polled to loser+x/5+120
  =41x/100+2x/5-160+x/5+120
  solve===>we get x as 4000
  loser/total votes cast=(2x/5-160)-(4x/5-120)==>50%-5% =45%
• 10 years agoHelpfull: Yes(0) No(1)