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In an election, the winner gets 60% of the total votes and wins the election by 1200 votes then find the number of total voters in the election.
- a)6000
- b)8000
- c)10000
- d)12000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In an election, the winner gets60%of the total votes and wins the elec...
Given:
The winner gets 60% of the total votes and wins the election by 1200 votes.
Let the total number of voters be x.
The number of votes that winner gets = 60% of x
Winner's vote = 60×(x/100)
Winner's vote = 3x/5
Loser's vote = ((x−3x)/5)
Loser's vote = 2x/5
Margin of their votes = {(3x/5)−(2x/5)}
⇒ 1200 = x/5
⇒ x = 6000.
The winner gets 60% of the total votes and wins the election by 1200 votes.
Let the total number of voters be x.
The number of votes that winner gets = 60% of x
Winner's vote = 60×(x/100)
Winner's vote = 3x/5
Loser's vote = ((x−3x)/5)
Loser's vote = 2x/5
Margin of their votes = {(3x/5)−(2x/5)}
⇒ 1200 = x/5
⇒ x = 6000.
Most Upvoted Answer
In an election, the winner gets60%of the total votes and wins the elec...
To find the number of total voters in the election, we can use the information given:
- The winner gets 60% of the total votes.
- The winner wins the election by 1200 votes.
Let's assume the total number of votes is 'x'.
The winner gets 60% of the total votes, which is 0.6 * x, and the loser gets the remaining votes, which is 0.4 * x.
The winner wins the election by 1200 votes, so we can set up the equation:
0.6x - 0.4x = 1200
Simplifying the equation, we have:
0.2x = 1200
Dividing both sides of the equation by 0.2, we get:
x = 1200 / 0.2
x = 6000
Therefore, the number of total voters in the election is 6000.
- The winner gets 60% of the total votes.
- The winner wins the election by 1200 votes.
Let's assume the total number of votes is 'x'.
The winner gets 60% of the total votes, which is 0.6 * x, and the loser gets the remaining votes, which is 0.4 * x.
The winner wins the election by 1200 votes, so we can set up the equation:
0.6x - 0.4x = 1200
Simplifying the equation, we have:
0.2x = 1200
Dividing both sides of the equation by 0.2, we get:
x = 1200 / 0.2
x = 6000
Therefore, the number of total voters in the election is 6000.
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In an election, the winner gets60%of the total votes and wins the election by1200votes then find the number of total voters in the election.a)6000b)8000c)10000d)12000Correct answer is option 'A'. Can you explain this answer?
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