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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:
- The election is contested by two candidates.
- One candidate got 54% of the total votes.
- The winning candidate won by a margin of 288 votes.
To Find:
- The total number of votes.
Solution:
Let's assume the total number of votes as 'x'.
Step 1: Calculate the number of votes received by the winning candidate.
- The winning candidate received 54% of the total votes.
- So, the number of votes received by the winning candidate = (54/100) * x.
Step 2: Calculate the number of votes received by the losing candidate.
- The losing candidate received the remaining votes.
- So, the number of votes received by the losing candidate = x - (54/100) * x = (46/100) * x.
Step 3: Calculate the margin of victory.
- The winning candidate won by a margin of 288 votes.
- The margin of victory = (54/100) * x - (46/100) * x = 288.
Step 4: Solve the equation to find the value of 'x'.
- (54/100) * x - (46/100) * x = 288.
- (8/100) * x = 288.
- x = (288 * 100) / 8.
- x = 3600.
Therefore, the total number of votes is 3600.
Hence, option B is the correct answer.
- The election is contested by two candidates.
- One candidate got 54% of the total votes.
- The winning candidate won by a margin of 288 votes.
To Find:
- The total number of votes.
Solution:
Let's assume the total number of votes as 'x'.
Step 1: Calculate the number of votes received by the winning candidate.
- The winning candidate received 54% of the total votes.
- So, the number of votes received by the winning candidate = (54/100) * x.
Step 2: Calculate the number of votes received by the losing candidate.
- The losing candidate received the remaining votes.
- So, the number of votes received by the losing candidate = x - (54/100) * x = (46/100) * x.
Step 3: Calculate the margin of victory.
- The winning candidate won by a margin of 288 votes.
- The margin of victory = (54/100) * x - (46/100) * x = 288.
Step 4: Solve the equation to find the value of 'x'.
- (54/100) * x - (46/100) * x = 288.
- (8/100) * x = 288.
- x = (288 * 100) / 8.
- x = 3600.
Therefore, the total number of votes is 3600.
Hence, option B is the correct answer.
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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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