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In an election two candidates are contesting. 30 percent of the valid votes were in favour of the losing candidate whereas the winning candidate got 50 percent of the valid votes and rest of the valid votes were considered as illegal. The winning candidate won by 4500 votes. Calculate the total number of voters if 90 percent of the total votes are considered valid.

In an election two candidates are contesting. 30 percent of the valid votes were in favour of the losing candidate whereas the winning candidate got 50 percent of the valid votes and rest of the valid votes were considered as illegal. The winning candidate won by 4500 votes. Calculate the total number of voters if 90 percent of the total votes are considered valid. Correct Answer 25000

Given:

90 percent votes were valid

Winning candidate got 50 percent of valid votes and won by 4500 votes

Losing candidate got 30 percent of valid votes.

Calculation:

Let total voters be x

Valid votes = 90% of x = 0.9x

Number of votes winning candidate got = 50% of 0.9x = 0.45x

Numbers of votes losing candidate got = 30% of 0.9x = 0.27x

Difference in votes = 0.45x – 0.27x = 0.18x

0.18x = 4500

⇒ x = 4500/0.18

⇒ x = 25000

∴ Total number of voters is 25000

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