In an election between two candidates, 80% of the voters cast their votes, out of which 4% votes were declared invalid. A candidate got 15,360 votes which were 80% of the valid votes. Find the total number of votes.

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Accepted Answer

Step 1: Let the total number of votes be x.
Step 2: 80% of voters cast their votes, so votes cast = 0.8x.
Step 3: 4% of these votes are invalid, so valid votes = 96% of votes cast = 0.96 * 0.8x = 0.768x.
Step 4: A candidate got 15,360 votes which are 80% of valid votes.
So, 0.8 * valid votes = 15,360
=> 0.8 * 0.768x = 15,360
=> 0.6144x = 15,360
=> x = 15,360 / 0.6144 = 25,000.

Therefore, the total number of votes is 25,000.

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