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In an election a candidate got 35% of votes but was defeated by other candidate by 750 votes. Find the total number of votes polled.
- a)2000
- b)2500
- c)3200
- d)None
- e)All of the above
Correct answer is option 'B'. Can you explain this answer?
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In an election a candidate got 35% of votes but was defeated by other ...
Finding the Total Number of Votes Polled
Given: A candidate got 35% of votes but was defeated by other candidate by 750 votes.
To find: The total number of votes polled.
Approach:
Let's assume the total number of votes polled as 'x'.
Now, as per the given information, the candidate got 35% of total votes.
Hence, the number of votes received by the candidate = 35% of x = 0.35x.
As per the question, the candidate was defeated by other candidate by 750 votes. It means that the other candidate got 0.35x - 750 votes.
Now, the total number of votes polled can be calculated as follows:
x = votes received by the candidate + votes received by the other candidate
x = 0.35x + (0.35x - 750)
x = 0.7x - 750
0.3x = 750
x = 2500
Therefore, the total number of votes polled is 2500.
Hence, option B is the correct answer.
Note: We can also solve this problem by assuming the number of votes received by the other candidate as a percentage of total votes. Let's say the other candidate received 'y' percent of total votes, then we can write the equation as follows:
x = 0.35x + y% of x
x = 0.35x + 0.01yx
0.64x = 0.01yx
64x = yx
y = 64
Hence, the other candidate received 64% of total votes. Then we can use this information to calculate the total number of votes polled as follows:
0.35x - 0.64x = -0.29x = -750
x = 750/0.29 = 2586.21 ≈ 2500
Therefore, the total number of votes polled is 2500.
Given: A candidate got 35% of votes but was defeated by other candidate by 750 votes.
To find: The total number of votes polled.
Approach:
Let's assume the total number of votes polled as 'x'.
Now, as per the given information, the candidate got 35% of total votes.
Hence, the number of votes received by the candidate = 35% of x = 0.35x.
As per the question, the candidate was defeated by other candidate by 750 votes. It means that the other candidate got 0.35x - 750 votes.
Now, the total number of votes polled can be calculated as follows:
x = votes received by the candidate + votes received by the other candidate
x = 0.35x + (0.35x - 750)
x = 0.7x - 750
0.3x = 750
x = 2500
Therefore, the total number of votes polled is 2500.
Hence, option B is the correct answer.
Note: We can also solve this problem by assuming the number of votes received by the other candidate as a percentage of total votes. Let's say the other candidate received 'y' percent of total votes, then we can write the equation as follows:
x = 0.35x + y% of x
x = 0.35x + 0.01yx
0.64x = 0.01yx
64x = yx
y = 64
Hence, the other candidate received 64% of total votes. Then we can use this information to calculate the total number of votes polled as follows:
0.35x - 0.64x = -0.29x = -750
x = 750/0.29 = 2586.21 ≈ 2500
Therefore, the total number of votes polled is 2500.
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