In an election between two candidates,30% of the electorate did not cast their votes. 20% of the votes polled were found invalid. The winning candidate got 64% of the valid votes and won by a majority of 3136 votes. Find the number of voters enrolled in the voter list.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20000
Calculations:
Let the total number of votes be 100x.
Total number of votes polled = 70% of 100x = 70x
Total number of valid votes = 80% of 70x = 56x
Number of votes the winning candidate get = 64% of 56x = 35.84x
Number of votes the losing candidate get = 56x - 35.84x = 20.16
According to the question;
⇒ 35.84x - 20.16x = 3136
⇒ x = 200
Total number of votes = 100x
⇒ 100 × 200 = 20000