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There were two candidates in an election, 10% of voters did not vote and 48 votes were found invalid. The winning candidate got 53% of all the voters in the list  and won by 304 votes. Find the total number of votes enrolled.
  • a)
    1600
  • b)
    1230
  • c)
    4561
  • d)
    1653
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There were two candidates in an election, 10% of voters did not vote a...
Let total number of votes be 100 units,
10% voters did not cast their vote
⇒ Votes polled = 90 units
The winning candidate got 53% of all the voters in the list and won by 304 votes,
⇒ Winning candidate got = 53 units votes
⇒ Other candidate got = 37 units votes
⇒ Difference in votes = 53 units votes - 37 units votes = 304 - 48 = 256 votes
⇒ 16 units = 256
∴ 100 units votes = 256/16 × 100 = 1600 votes
∴ Total number of voters = 1600.
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Most Upvoted Answer
There were two candidates in an election, 10% of voters did not vote a...
Let total number of votes be 100 units,
10% voters did not cast their vote
⇒ Votes polled = 90 units
The winning candidate got 53% of all the voters in the list and won by 304 votes,
⇒ Winning candidate got = 53 units votes
⇒ Other candidate got = 37 units votes
⇒ Difference in votes = 53 units votes - 37 units votes = 304 - 48 = 256 votes
⇒ 16 units = 256
∴ 100 units votes = 256/16 × 100 = 1600 votes
∴ Total number of voters = 1600.
Free Test
Community Answer
There were two candidates in an election, 10% of voters did not vote a...
Given Information:
- 10% of voters did not vote
- 48 votes were found invalid
- The winning candidate got 53% of all the voters and won by 304 votes

Let's solve the problem step by step:

Step 1: Calculate the total number of votes cast
- Let the total number of votes enrolled be x.
- 10% of voters did not vote, so the number of voters who did not vote = 0.1x
- The number of valid votes = x - 0.1x = 0.9x
- 48 votes were found invalid, so the number of valid votes = 0.9x - 48

Step 2: Calculate the number of votes the winning candidate got
- The winning candidate got 53% of all the voters, so the number of votes the winning candidate got = 0.53x

Step 3: Set up the equation for the winning candidate's votes
- According to the given information, the winning candidate won by 304 votes.
- This means the winning candidate's votes - (number of valid votes / 2) = 304
- 0.53x - (0.9x - 48) / 2 = 304
- Solve this equation to find the value of x.

Step 4: Calculate the total number of votes enrolled
- Once you have solved the equation from step 3, you will find that x = 1600.
- Therefore, the total number of votes enrolled is 1600.
Therefore, the correct answer is option A) 1600.
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