In an election between two candidates, 20% of the voters on the voters list did not cast their votes and 80 voters cast their ballot papers blank. The winner secured 45% of all the voters in the list and he got 280 votes more than his rival. The number of voters on the list was:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2000
Let the total number of voters in the voting list be 100X units
Given that
20% of the voters on the voters list did not cast their votes
The voters who cast their votes = 80X units
If 80 voters cast their ballot papers blank,
So, the valid votes = 80X - 80
The winner gets votes = 45% × 100X = 45X
The loser candidate gets votes = 45X - 280
According to the question
⇒ 45X + 45X - 280 = 80X - 80
⇒ 90X - 80X = 280 - 80 = 200
⇒ 10X = 200
⇒ 100X = 2000
Hence, the total number of voters in the voting list is 2000