In an election between two candidates, 15% of the voters did not cast their votes and 10% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 6120 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. 80000
Explanation:
Let the number of voters enrolled on the voters list be 100x.
According to the given question,
Votes casted = 85% of 100x = 85x
Number of valid votes = 90% of 85x = 76.5x
Since the votes obtained by winner is 55%
So the votes obtained by losing candidate = 45%
Now, difference = 10%
Then, 10% of 76.5x = 6120
⇒ = 6120
⇒ x = 800
Now, 100x = 80000
Hence the required answer is 80000.