Question:
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
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When given percentage vote shares and a vote margin, use the difference in percentages to find the total number of votes.
Updated On: Apr 21, 2025
- 1500
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- 1800
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The Correct Option is C
Solution and Explanation
Let the total number of votes be \( x \).
Then one candidate got \( 62% \) of the votes, i.e., \( 0.62x \), and the other got \( 38% \), i.e., \( 0.38x \).
The difference in votes is:
\[
0.62x - 0.38x = 0.24x
\]
Given that the winning margin is 432 votes:
\[
0.24x = 432 \Rightarrow x = \frac{432}{0.24} = 1800
\]
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