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12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election.
  • a)
    50000
  • b)
    75000
  • c)
    100000
  • d)
    125000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
12 percent of the voters in an election did not cast their votes. In t...
12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So,
(45/100 -43/100)*P = 2000
P = 100000
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Community Answer
12 percent of the voters in an election did not cast their votes. In t...
Total Votes Calculation
To find the total number of votes in the election, let's break down the information given:
- **Voter Turnout**: 12% of voters did not cast their votes, meaning 88% did.
- **Votes for Candidates**: The winner received 45% of the total votes.

Understanding the Vote Distribution
Let the total number of votes be represented as \( V \).
- Votes cast = \( 0.88V \)
- Votes for the winner = \( 0.45 \times 0.88V = 0.396V \)
- Votes for the rival = \( 0.88V - 0.396V = 0.484V \)

Deficit in Votes
The winner defeated his opponent by 2000 votes:
- \( 0.396V - 0.484V = 2000 \)
This simplifies to:
- \( -0.088V = 2000 \)

Solving for Total Votes
To find \( V \):
- \( V = \frac{2000}{-0.088} \)
- \( V = 2000 \times \frac{-1}{0.088} \)
- \( V = 2000 \times 11.364 \approx 100000 \)
Thus, the total number of votes in the election is approximately **100,000**.

Conclusion
The total number of votes cast in the election is **100,000**, which corresponds to option **C**.
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