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In an election between two candidates, 10% of the people did not vote. Winning candidate won the election by 1080 votes and it was found that he had been supported by 60% of the total number of voters . Which of the following can be the number of votes receded for each candidate? 3640, 24603340, 22603240, 216032 60, 2140

Question

In an election between two candidates, 10% of the people did not vote. Winning candidate won the election by 1080 votes and it was found that he had been supported by 60% of the total number of voters . Which of the following can be the number of votes receded for each candidate? 3640, 24603340, 22603240, 216032 60, 2140

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Solution

Let's solve this step by step:

  1. Let's assume the total number of people is 100%. According to the problem, 10% of people did not vote, so 90% of people voted.

  2. The winning candidate won by 1080 votes and he had been supported by 60% of the total number of voters. This means the losing candidate had the support of the remaining 40% of voters.

  3. Let's denote the total number of voters as V. Then, the winning candidate got 60% of V votes and the losing candidate got 40% of V votes.

  4. The difference between the votes for the winning candidate and the losing candidate is 1080 votes, which is also 20% of V (since 60% - 40% = 20%).

  5. Therefore, we can set up the equation 20% of V = 1080 to find the total number of voters. Solving this equation gives V = 1080 / 20% = 5400.

  6. Now, we can calculate the number of votes for each candidate: the winning candidate got 60% of 5400 = 3240 votes, and the losing candidate got 40% of 5400 = 2160 votes.

So, the number of votes received for each candidate is 3240 and 2160.

This problem has been solved

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