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In an election the votes between the winner and loser candidate are in the ratio 5:1. If total number of eligible voters are 1000, out of which 12% did not cast their vote and among the remaining vote 10% declared invalid. What is the number of votes the winner candidate get ?
  • a)
    620
  • b)
    630
  • c)
    640
  • d)
    660
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an election the votes between the winner and loser candidate are in...
Answer – d) 660 Solution: Ratio b/w winner and loser 5:1 Total no of votes casted actually = 1000*(88/100)*(90/100) = 792 5x + x = 792, X =132 Votes of winner candidate = 5*132 = 660
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Most Upvoted Answer
In an election the votes between the winner and loser candidate are in...
Given:
- The ratio of votes between the winner and loser candidate is 5:1.
- Total number of eligible voters is 1000.
- 12% of eligible voters did not cast their vote.
- 10% of the remaining votes are declared invalid.

To find:
The number of votes the winner candidate gets.

Solution:
1. Calculate the number of eligible voters who did not cast their vote:
Number of eligible voters who did not cast their vote = 12% of 1000
= (12/100) * 1000
= 120

2. Calculate the number of eligible voters who cast their vote:
Number of eligible voters who cast their vote = Total number of eligible voters - Number of voters who did not cast their vote
= 1000 - 120
= 880

3. Calculate the number of valid votes:
Number of valid votes = 90% of the number of voters who cast their vote
= (90/100) * 880
= 792

4. Calculate the number of votes for the loser candidate:
Let the number of votes for the loser candidate be L.
According to the given ratio, the number of votes for the winner candidate is 5 times the number of votes for the loser candidate.
Therefore, the number of votes for the loser candidate is L, and the number of votes for the winner candidate is 5L.

5. Calculate the total number of votes:
Total number of votes = Number of valid votes + Number of invalid votes
= 792 + 10% of 792
= 792 + (10/100) * 792
= 792 + 79.2
≈ 871.2

6. Calculate the number of votes for the winner candidate:
According to the given ratio, the number of votes for the winner candidate is 5 times the number of votes for the loser candidate.
Therefore, 5L = 871.2
Solving for L, we get L ≈ 174.24

The number of votes for the winner candidate is approximately 5L ≈ 5 * 174.24 ≈ 871.2 ≈ 660.

Therefore, the correct answer is option 'D' - 660.
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In an election the votes between the winner and loser candidate are in the ratio 5:1. If total number of eligible voters are 1000, out of which 12% did not cast their vote and among the remaining vote 10% declared invalid. What is the number of votes the winner candidate get ?a)620b)630c)640d)660Correct answer is option 'D'. Can you explain this answer?
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