55please explain the method i.e show the calculations.
in an election contested by two candidates 5% of the voters did not cast their votes. the successful candidate won by 5100votes securing 4847% of the total votes. how many voters were there? how many votes were cast for each of them?
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2 Answers
206Since 5% of voters did not vote, then 95% of the voters cast their votes.
Out of these 95% of votes, the winning candidate secured 4847% of the votes.
Hence, percentage of votes secured by the other candidate = (95 - 4847)% = 4637%
Let x be the total no. of voters.
Then percentage of voters voting for winning candidate = 4847% of x
or, 4847% X x
No. of winning votes = 5100
or, Votes for winning candidate - votes for losing candidate = 5100
or, x100(4847 - 4637) = 5100
or, x100(217) = 5100
Now, solve for x to get the total no. of voters
and using percentage of votes, you can find the no. of votes for each candidate