In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?22000250001800020000Add Attachments
Question
In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?22000250001800020000Add Attachments
Solution
To solve this problem, we need to understand that the winning candidate won by a majority of 9000 votes, which means that this number represents the difference between the votes received by the winning candidate and the losing candidate.
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Since the winning candidate got 70% of the valid votes, the losing candidate got 30% of the valid votes. The difference between these percentages is 40% (70% - 30%), which is equal to the majority of 9000 votes.
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Therefore, 1% of the valid votes is equal to 9000 votes divided by 40, which is 225 votes.
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To find the total number of valid votes, we multiply 225 votes by 100 (since there are 100% in total), which gives us 22500 votes.
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However, we know that these valid votes represent 90% of the total votes polled. So, 1% of the total votes polled is equal to 22500 votes divided by 90, which is 250 votes.
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Finally, to find the total number of votes polled, we multiply 250 votes by 100, which gives us 25000 votes.
So, the total number of votes polled is 25000.
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