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In a college election, a candidate secured 62% of the votes and is elected by a majority of 144 votes. The total number of votes polled is
- a)600
- b)800
- c)925
- d)1200
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a college election, a candidate secured 62% of the votes and is ele...
∵ (62% of N - 38% of N) =144
⇒ 24% of N = 144
∴ N = (144 x 100)/24 = 600
Most Upvoted Answer
In a college election, a candidate secured 62% of the votes and is ele...
Given information:
- A candidate secured 62% of the votes
- Elected by a majority of 144 votes
To find:
- Total number of votes polled
Solution:
Let's assume the total number of votes polled is 'x'.
According to the question, the candidate secured 62% of the votes. That means the candidate got 0.62x votes.
The candidate was elected by a majority of 144 votes. That means the difference between the candidate's votes and the votes secured by the nearest opponent is 144 votes.
Let's assume the nearest opponent got 'y' votes. Then, the candidate's votes can be calculated as follows:
0.62x - y = 144
We need to simplify this equation to find the value of 'x'.
Let's assume the total number of votes polled for both the candidate and the opponent is z.
Then, we can write the following equation:
0.62z + 0.38z = z
Here, 0.62z represents the candidate's votes, and 0.38z represents the opponent's votes.
Now, we can substitute the value of z in the previous equation to get:
0.62(x+y) - y = 144
0.62x + 0.62y - y = 144
0.62x + 0.38y = 144
Now, we can substitute the value of y in the previous equation to get:
0.62x + 0.38(0.62x - 144) = 144
0.62x + 0.2364x - 54.72 = 144
0.8564x = 198.72
x = 2320/13
x ≈ 178.46
Since the total number of votes polled must be an integer, we can round off the value of 'x' to the nearest integer, which is 600.
Therefore, the correct answer is option 'A' (600).
- A candidate secured 62% of the votes
- Elected by a majority of 144 votes
To find:
- Total number of votes polled
Solution:
Let's assume the total number of votes polled is 'x'.
According to the question, the candidate secured 62% of the votes. That means the candidate got 0.62x votes.
The candidate was elected by a majority of 144 votes. That means the difference between the candidate's votes and the votes secured by the nearest opponent is 144 votes.
Let's assume the nearest opponent got 'y' votes. Then, the candidate's votes can be calculated as follows:
0.62x - y = 144
We need to simplify this equation to find the value of 'x'.
Let's assume the total number of votes polled for both the candidate and the opponent is z.
Then, we can write the following equation:
0.62z + 0.38z = z
Here, 0.62z represents the candidate's votes, and 0.38z represents the opponent's votes.
Now, we can substitute the value of z in the previous equation to get:
0.62(x+y) - y = 144
0.62x + 0.62y - y = 144
0.62x + 0.38y = 144
Now, we can substitute the value of y in the previous equation to get:
0.62x + 0.38(0.62x - 144) = 144
0.62x + 0.2364x - 54.72 = 144
0.8564x = 198.72
x = 2320/13
x ≈ 178.46
Since the total number of votes polled must be an integer, we can round off the value of 'x' to the nearest integer, which is 600.
Therefore, the correct answer is option 'A' (600).
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In a college election, a candidate secured 62% of the votes and is elected by a majority of 144 votes. The total number of votes polled isa)600b)800c)925d)1200Correct answer is option 'A'. Can you explain this answer?
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