In an election between two candidates, 80% of the eligible voters cast their votes, and 5% of the votes cast were declared invalid. A candidate got 10545 votes, which were 75% of the total valid votes. Find the total number of eligible voters.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18500.
80% of the voters voted
5% of the votes are invalid
One candidate got 10545 votes which are 75% of the total valid votes
Invalid votes percent + valid votes percent = 100 percent
Let total voters be x
Number of votes cast = 80% of x = 0.8x
Number of valid votes = 95% of 0.8x = 0.76x
Number of votes one candidate gets = 75% of 0.76x = 0.57x
⇒ 0.57x = 10545
⇒ x = 10545/0.57
⇒ x = 18500