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In an election that was contested by 2 candidates, one candidate got 20% of the total votes and yet lost by 600 votes. What is
the total number of votes cast in the election, assuming all votes are valid?
900
700
800
1000
- Let's denote the total number of votes as \( V \).
- One candidate received 20% of the votes, which is \( 0.2V \).
- The opponent received the remaining 80% of the votes, \( 0.8V \).
- The candidate with 20% of the votes lost by 600 votes.
- This means the opponent had 600 more votes than the losing candidate.
- So, \( 0.8V - 0.2V = 600 \).
- Simplifying gives \( 0.6V = 600 \).
- Solving for \( V \) gives \( V = 1000 \).
- Option 1: 900
- Doesn't satisfy the equation \( 0.6V = 600 \).
- Option 2: 700
- Option 3: 800
- Option 4: 1000
- Satisfies \( 0.6 \times 1000 = 600 \).
Therefore, the total number of votes cast is 1000.
By: santosh ProfileResourcesReport error
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