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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.
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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