in a straight contest the loser polled 42% votes and the lost by 14400 votes find the total number of votes polled if the total number of eligible voters was 100000 find what percentage of voters did not vote
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Question : In a straight contest , the loser polled 42% votes and lost by 14400 votes . Find the total no. of votes polled . If the total no. number of eligible voters were 1 lakh , find what percentage of voters did not vote.
Step-by-step explanation:
Let the total no. of votes = x.
⇒ Loser gets 42% of x votes
=42x/100 votes
⇒Winner gets (100%-42%) 58% of x votes
=58x/100 votes
Now ,
Loser lost by votes =14400 votes.
Therefore, we can conclude that
Difference between winner's and loser's votes = 14400
According To Problem :
⇒ 58x/100-42x/100 =14400
⇒(58x-42x)/100 =14400
⇒16x/100 =14400
⇒x= 14400*100/16
⇒x= 90000
so , the total no of votes polled is 90000.
No . of eligible voters=100000
⇒No. of voters who didn't vote
=100000-90000
=10000 voters
⇒Percentage of voters who didn't vote
=10000/100000*100 %
=10 %
Answer = 10 %
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