In an election between two candidates, one got 60% of the total valid votes, 15% of the votes were invalid. If the total number of votes was 8000, the number of valid votes that the other candidate got was:
Question
In an election between two candidates, one got 60% of the total valid votes, 15% of the votes were invalid. If the total number of votes was 8000, the number of valid votes that the other candidate got was:
Solution
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First, we need to find out the total number of valid votes. We know that 15% of the votes were invalid, so 85% of the votes were valid. We calculate this by multiplying the total number of votes (8000) by 85% (or 0.85).
8000 * 0.85 = 6800 valid votes
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We know that one candidate got 60% of the total valid votes. So, the other candidate must have gotten the remaining 40% (since there are only two candidates and all valid votes must be accounted for).
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We calculate the number of valid votes the other candidate got by multiplying the total number of valid votes (6800) by 40% (or 0.40).
6800 * 0.40 = 2720 votes
So, the other candidate got 2720 valid votes.
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