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In an election between two candidates, 60% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 7344 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
  • a)
    1700
  • b)
    17590
  • c)
    17000
  • d)
    7344
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In an election between two candidates, 60% of the voters cast their vo...
Let the total number of votes enrolled be x.
Then, number of votes cast = 60% of x Valid votes = 96% of (60% of x)
75% of [96% of (60% of x)] = 7344
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Most Upvoted Answer
In an election between two candidates, 60% of the voters cast their vo...
Given information:
- 60% of voters cast their votes.
- 4% of votes were declared invalid.
- A candidate got 7344 votes which were 75% of the total valid votes.

To find:
- Total number of votes enrolled in the election.

Solution:
Let's assume the total number of voters enrolled in the election to be x.

Number of voters who cast their votes = 60% of x = 0.6x

Number of valid votes = 96% of (0.6x) [Since, 4% of the votes were declared invalid] = 0.96 x 0.6x = 0.576x

Given, a candidate got 7344 votes which were 75% of the total valid votes.
So, 75% of the total valid votes = 7344
Or, 0.75 x (0.576x) = 7344
Or, 0.432x = 7344
Or, x = 17000

Therefore, the total number of votes enrolled in the election was 17000.

Hence, option (C) is the correct answer.
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