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In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

  • a)
    2700

  • b)
    2900

  • c)
    3000

  • d)
    3100

Correct answer is option 'A'. Can you explain this answer?
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In an election between two candidates, one got 55% of the total valid ...
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In an election between two candidates, one got 55% of the total valid ...
Given data:
Total number of votes = 7500
Invalid votes = 20% of 7500 = 1500
Valid votes = 7500 - 1500 = 6000
One candidate got 55% of valid votes, i.e., 55/100 * 6000 = 3300 votes.

To find:
The number of valid votes that the other candidate got.

Solution:
Let the number of valid votes that the other candidate got be x.
Total valid votes = valid votes for candidate 1 + valid votes for candidate 2
6000 = 3300 + x
x = 6000 - 3300
x = 2700

Therefore, the number of valid votes that the other candidate got is 2700. Option A is the correct answer.
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Community Answer
In an election between two candidates, one got 55% of the total valid ...
Number of valid votes
= 80% of 7500
= 6000
∴ Valid votes polled by other candidate
= 45% of 6000
=  45100×600045100×6000 = 2700
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