In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 15000, the number of valid votes that the other candidate got, was:
Question
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 15000, the number of valid votes that the other candidate got, was:
Solution
First, we need to find out the number of valid votes. We know that 20% of the votes were invalid, so 80% of the votes were valid.
Step 1: Calculate the number of valid votes 80/100 * 15000 = 12000 valid votes
Next, we know that one candidate got 55% of the total valid votes. This means the other candidate must have gotten 45% of the total valid votes (since the total percentage must add up to 100%).
Step 2: Calculate the number of votes the other candidate got 45/100 * 12000 = 5400 votes
So, the other candidate got 5400 valid votes.
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