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In an election contested by two candidates, a candidate who got 54% of the total votes won by a margin of 288 votes. Total votes are.
- a)3000
- b)3600
- c)4000
- d)4800
Correct answer is option 'B'. Can you explain this answer?
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In an election contested by two candidates, a candidate who got 54% o...
Let total number of votes cast = x
View all questions of this test
54% of x = 46% of x + 288
8% of x = 288
x = 288 x 100/8 = 3600. Hence, the answer option is (2).
Most Upvoted Answer
In an election contested by two candidates, a candidate who got 54% o...
Given information:
- There are two candidates in the election.
- The candidate who received 54% of the total votes won the election.
- The winning margin is 288 votes.
Objective:
To determine the total number of votes cast in the election.
Solution:
Let's assume the total number of votes cast in the election is 'x'.
Calculating the votes for the winning candidate:
- The winning candidate received 54% of the total votes, which is 0.54x.
- So, the total number of votes for the winning candidate is 0.54x.
Calculating the votes for the losing candidate:
- The losing candidate received 100% - 54% = 46% of the total votes, which is 0.46x.
- So, the total number of votes for the losing candidate is 0.46x.
Calculating the winning margin:
- The winning margin is given as 288 votes.
- It represents the difference between the votes received by the winning and losing candidates.
- So, the winning margin is 0.54x - 0.46x = 0.08x.
Equating the winning margin to 288 votes:
- We have 0.08x = 288.
- Dividing both sides of the equation by 0.08, we get x = 288 / 0.08.
- Simplifying further, x = 3600.
Therefore, the total number of votes cast in the election is 3600.
Hence, the correct answer is option 'B' - 3600.
- There are two candidates in the election.
- The candidate who received 54% of the total votes won the election.
- The winning margin is 288 votes.
Objective:
To determine the total number of votes cast in the election.
Solution:
Let's assume the total number of votes cast in the election is 'x'.
Calculating the votes for the winning candidate:
- The winning candidate received 54% of the total votes, which is 0.54x.
- So, the total number of votes for the winning candidate is 0.54x.
Calculating the votes for the losing candidate:
- The losing candidate received 100% - 54% = 46% of the total votes, which is 0.46x.
- So, the total number of votes for the losing candidate is 0.46x.
Calculating the winning margin:
- The winning margin is given as 288 votes.
- It represents the difference between the votes received by the winning and losing candidates.
- So, the winning margin is 0.54x - 0.46x = 0.08x.
Equating the winning margin to 288 votes:
- We have 0.08x = 288.
- Dividing both sides of the equation by 0.08, we get x = 288 / 0.08.
- Simplifying further, x = 3600.
Therefore, the total number of votes cast in the election is 3600.
Hence, the correct answer is option 'B' - 3600.
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In an election contested by two candidates, a candidate who got 54% of the total votes won by a margin of 288 votes. Total votes are.a)3000b)3600c)4000d)4800Correct answer is option 'B'. Can you explain this answer?
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