In an election between two candidates, 10% of the voters did not cast their votes and 5% of the votes polled were found invalid. The successful candidate got 52.5% of the valid votes and won by a majority of 1710 votes. The number of voters enrolled on the voters list was:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 40000.
Let the total enrolled voters = x
Percentage of votes got by the successful candidate = 52.5%
So, the rest votes = (100 - 52.5)% = 47.5% of valid votes got by the unsuccessful candidate
Difference = 52.5% - 47.5% = 5%
Here, 10% of the voters did not cast their votes and 5% of the votes polled were found invalid.
So, x(90/100) × (95/100) × (5/100) = 1710
⇒ x(9/10) × (19/20) × (1/20) = 1710
⇒ x = 40000
Therefore, the number of enrolled voters is 40,000.