In an election, 95% of the total voters cast their votes. In this election, there were only two candidates A and B. The winner A, by obtaining 75% of the total votes, defeated his contestant B by 5500 votes. Find the total number of voters in the election.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10000.
We are given the following information:
95% of the total voters cast their votes.
Candidate A received 75% of the total votes.
Candidate A won by 5500 votes.
Let's define the total number of voters as x.
Since 95% of the total voters cast their votes, the number of people who actually voted is:
0.95x
Candidate A received 75% of the total votes, which is 0.75x.
Candidate B, therefore, received the remaining votes. Since the total number of votes cast is 0.95x, the number of votes for B is:
0.95x−0.75x=0.20x
We are told that candidate A won by 5500 votes. This difference in votes between A and B is:
0.75x−0.20x=55000.
Simplifying this equation:
0.55x=55000.
Now, solve for x:
The total number of voters in the election is 10000.