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n an election, only two candidates A and B contested, 25% of voters did not vote and 2000 votes were declared as invalid. The winner, A got 7600 votes more than his opponent thus he secured 52% of total valid votes. The total number of valid votes are

Question

n an election, only two candidates A and B contested, 25% of voters did not vote and 2000 votes were declared as invalid. The winner, A got 7600 votes more than his opponent thus he secured 52% of total valid votes. The total number of valid votes are

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Solution

Let's solve this step by step:

  1. According to the problem, candidate A secured 52% of the total valid votes and he got 7600 votes more than candidate B.

  2. Let's assume the total valid votes are X. Therefore, candidate A got 0.52X votes and candidate B got (0.52X - 7600) votes.

  3. The total valid votes are also the sum of votes of candidate A and candidate B. So, we can set up the following equation: 0.52X + (0.52X - 7600) = X

  4. Solving this equation gives us X = 40000.

Therefore, the total number of valid votes is 40000.

This problem has been solved

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