There are two condidates in an election A candidate got `68%` of total votes and won by `14400` votes then find the total votes ?

Options

A. `40,000`
B. `32,000`
C. `36,000`
D. `42,000`

Answer

To solve the problem, we need to find the total number of votes in the election based on the information given about the percentage of votes received by the winning candidate and the margin by which they won.

### Step-by-Step Solution:

1. **Define the Total Votes**:
Let the total number of votes be represented as \( x \).

2. **Calculate Votes for the Winning Candidate**:
The winning candidate received \( 68\% \) of the total votes. Therefore, the number of votes received by the winning candidate is:
\[ \text{Votes for Winning Candidate} = 0.68x \]

3. **Calculate Votes for the Losing Candidate**:
Since there are only two candidates, the losing candidate received the remaining votes, which is \( 32\% \) of the total votes. Thus, the number of votes for the losing candidate is:
\[ \text{Votes for Losing Candidate} = 0.32x \]

4. **Determine the Vote Difference**:
The difference in votes between the winning and losing candidates is given as \( 14400 \). Therefore, we can set up the equation:
\[ \text{Difference} = \text{Votes for Winning Candidate} - \text{Votes for Losing Candidate} \]
Substituting the values we have:
\[ 0.68x - 0.32x = 14400 \]

5. **Simplify the Equation**:
Combine the terms on the left side:
\[ 0.36x = 14400 \]

6. **Solve for \( x \)**:
To find \( x \), divide both sides by \( 0.36 \):
\[ x = \frac{14400}{0.36} \]
Performing the division:
\[ x = 40000 \]

7. **Conclusion**:
The total number of votes in the election is \( 40000 \).

### Final Answer:
The total votes are **40000**.