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In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 18522 votes which were 75% of the valid votes. The total number of voters enrolled in the election was:
  • a)
    36000
  • b)
    36400
  • c)
    33600
  • d)
    34800
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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In an election between 2 candidates, 75% of the voters cast their vote...
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In an election between 2 candidates, 75% of the voters cast their vote...
To find the total number of voters enrolled in the election, we need to follow these steps:

Step 1: Find the number of valid votes
- 75% of the voters cast their votes, which means the valid votes are 75% of the total votes.
- Let's assume the total number of votes is "x".
- So, the valid votes will be 75% of "x", which is (75/100)*x = 0.75x.

Step 2: Find the number of invalid votes
- 2% of the voters' cast votes were declared invalid.
- So, the number of invalid votes will be 2% of the total votes.
- Again, assuming the total number of votes is "x", the number of invalid votes will be (2/100)*x = 0.02x.

Step 3: Find the total valid votes
- The candidate got 18522 votes, which were 75% of the valid votes.
- Let's assume the total valid votes are "y".
- So, the candidate got 75% of "y", which is (75/100)*y = 0.75y.
- According to the question, 0.75y = 18522.

Step 4: Calculate the total number of voters enrolled
- We know that valid votes (0.75x) = total valid votes (y) - invalid votes (0.02x).
- So, 0.75x = y - 0.02x.
- Rearranging the equation, we get:
0.75x + 0.02x = y.
0.77x = y.

- We also know that 0.75y = 18522.
- Substituting the value of y from the above equation, we get:
0.75(0.77x) = 18522.
0.5775x = 18522.
x = 18522 / 0.5775.
x ≈ 32000.

Therefore, the total number of voters enrolled in the election is approximately 32000, which is not given in the options. Hence, none of the provided options is correct.
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In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 18522 votes which were 75% of the valid votes. The total number of voters enrolled in the election was:a)36000b)36400c)33600d)34800e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 18522 votes which were 75% of the valid votes. The total number of voters enrolled in the election was:a)36000b)36400c)33600d)34800e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 18522 votes which were 75% of the valid votes. The total number of voters enrolled in the election was:a)36000b)36400c)33600d)34800e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 18522 votes which were 75% of the valid votes. The total number of voters enrolled in the election was:a)36000b)36400c)33600d)34800e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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