In an election contest between 2 candidates one get 60% vote and wins by a majority of 400 votes. Find the total number of votes?

Questions : In an election contest between 2 candidates one get 60% vote and wins by a majority of 400 votes. Find the total number of votes?

Answer:  

 Let the total number of votes be X.

Given that one candidate gets 60% of the votes, the other candidate gets 40% of the votes. The majority (difference between their votes) is 400 votes.

So, we set up the equation:

$$60\% \text{ of } X - 40\% \text{ of } X = 400$$ $$\frac{60}{100} X - \frac{40}{100} X = 400$$ $$\frac{20}{100} X = 400$$ $$\frac{1}{5} X = 400$$ $$X = 400 \times 5$$ $$X = 2000$$

Thus, the total number of votes is 2000.

Additional Techniques 

Here's how to solve this:

1. Understand the percentages: The winning candidate received 60% of the votes. This means the losing candidate received 100% - 60% = 40% of the votes.

2. Relate the majority to the percentages: The winning candidate won by a majority of 400 votes. This difference in votes corresponds to the difference in percentages: 60% - 40% = 20%.

3. Calculate the total votes: If 20% of the total votes equals 400 votes, then we can set up a proportion to find the total number of votes (let's call it 'x'):

   20/100 = 400/x

   Cross-multiply:

   20x = 400 * 100

   20x = 40000

   x = 40000 / 20

   x = 2000

Answer: The total number of votes cast was 2000.

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