in a election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. find the total number of votes?

• 2500
  
  If total votes =x ,then valid votes= 90% of x =0.9x
  Winner's vote=70% of valid votes=0.7*0.9x=0.63x
  So looser's vote=30% of valid vote=0.3*0.9x=0.27x
  As difference in votes of these candidates=majority, So 0.63x -0.27x=900, x=900/0.36=2500
• 8 years agoHelpfull: Yes(25) No(4)
• majority of votes=900
  winner got valid votes=70%
  }40%
  looser got valid votes=30%
  total no of valid votes=100--------->40
  ? --------->900
  
  100*900
  = ----------- =2250
  40
  total no of invalid votes=10% = 90% Valid
  
  100------->90
  ?-------->2250
  
  100*2250
  = --------------
  90
  =2500
• 8 years agoHelpfull: Yes(4) No(0)
• i think 2500 wrong
  Total 100%
  Invalid votes 10%
  So we have to take 90% only
  Winner got 70%,
  looser 20%,
  so
  70%-20%=50%
  
  50% ------> 900
  100% ------> ?
  
  ans is : 1800
• 8 years agoHelpfull: Yes(4) No(16)
• Suppose total votes = 100
  and 10 % invalid then valid votes =90
  winner got 70% i.e . (90*70)/100=63
  and looser got 30% i.e. (90*30)/100=27
  then the diffrent b/w 1st and 2nd=> 63-27=36
  
  in question given 36=900
  then 1=25
  so 100=25*100 i.e.2500
• 7 years agoHelpfull: Yes(4) No(0)
• let votes be x
  now valid votes are 0.9x
  given
  70% of 0.9x is 900 more than 30% of 0.9x
  0.9*0.7 - 900 =0.3*0.9x giving x=2500
• 8 years agoHelpfull: Yes(3) No(0)
• suppose total votes x
  then valid votes is: x*90%
  winning candidate getting 70 % of valid then he is getting : x*90%*70%.............(1)
  and the other candidate is getting 30 % of valid votes : x*90%*30%............(2)
  
  now the difference between winner and loser is 900 votes....soooo
  
  (x*90%*70%) - (x*90%*30%)=900
  
  x=2500 ans.
• 7 years agoHelpfull: Yes(3) No(0)
• 70+10=80% votes,so the candidate who lose gets 20% votes.
  70%-20%=50%=900 votes
  so ans is 1800 votes
• 7 years agoHelpfull: Yes(2) No(2)
• The answer is 2500
  
  we take the total votes =x
  then valid votes= 90% of x =0.9x
  
  Winner's vote is =70% of valid votes=0.7*0.9x=0.63x
  And looser's vote is=30% of valid vote=0.3*0.9x=0.27x
  And here is difference in votes of these candidates is =900,
  
  So 0.63x -0.27x=900, x=900/0.36=2500 Solved
• 6 years agoHelpfull: Yes(2) No(0)
• 2500
  
  let x be total no. of votes.
  as 10% votes are in valid 90% votes are valid
  winner has 70% of valid votes.. and majority of 900 votes.
  so the extra % of valid votes winner got =900
  => 40%(90% of x)=900
  => (40*(80*x)/100)/100=900
  => 9x/25=900
  => x=2500
• 7 years agoHelpfull: Yes(0) No(0)
• let votes be x
  now valid votes are 0.9x
  given
  70% of 0.9x is 900 more than 30% of 0.9x
  0.9*0.7 - 900 =0.3*0.9x giving x=2500.
  
• 7 years agoHelpfull: Yes(0) No(2)