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In an election two candidates participated. 15% voters did not vote. 20% declared invalid and the winner got 75% of the valid votes. If he won by 3400 votes, find the number of voters in the voting list.
  • a)
    15000
  • b)
    8000
  • c)
    9000
  • d)
    10000
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an election two candidates participated. 15% voters did not vote. 2...
Total numbers of voters be 100.
Numbers of voters who voted (85%) = 85
Number of valid votes = 85 × 80/100 = 68
Winning candidate got 75% of valid votes = 75/100 × 68 = 51
Looser got = 68 – 51 = 17
Difference between winning and losing candidates votes = 3400
51 – 17 = 3400
34 = 3400
100 = 3400/34 × 100 = 10,000
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Most Upvoted Answer
In an election two candidates participated. 15% voters did not vote. 2...
Given data:
- Two candidates participated in an election.
- 15% voters did not vote.
- 20% declared invalid.
- The winner got 75% of the valid votes.
- He won by 3400 votes.

To find:
The number of voters in the voting list.

Solution:
Let the total number of voters in the voting list be 'x'.
- 15% voters did not vote. So, the number of voters who did not vote = 15% of x = 0.15x
- 20% declared invalid. So, the number of invalid votes = 20% of (x - 0.15x) = 0.2 * 0.85x = 0.17x
- Valid votes = Total votes - (Did not vote + Invalid votes) = x - 0.15x - 0.17x = 0.68x
- The winner got 75% of the valid votes. So, the number of votes he got = 0.75 * 0.68x = 0.51x
- He won by 3400 votes. So, 0.51x - (0.32x) = 3400
- Solving the equation, we get x = 10000

Therefore, the number of voters in the voting list is 10000.

Hence, option D is the correct answer.
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In an election two candidates participated. 15% voters did not vote. 20% declared invalid and the winner got 75% of the valid votes. If he won by 3400 votes, find the number of voters in the voting list.a)15000b)8000c)9000d)10000Correct answer is option 'D'. Can you explain this answer?
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