There are two candidates in an election. `8%` of the total votes did not cast their votes. A candidate got `48%` of total votes and won by `1100` votes then find the total votes ?

Options

A. `22599`
B. `26500`
C. `27500`
D. `28500`

Answer

To solve the problem, we need to find the total number of votes in the election given the information about the candidates and the percentage of votes cast.

### Step-by-step Solution:

1. **Understanding the Votes Cast**:
- We know that `8%` of the total votes did not cast their votes. Therefore, the percentage of votes that were cast is:
\[ 100\% - 8\% = 92\% \]

2. **Votes Received by Each Candidate**:
- One candidate received `48%` of the total votes that were cast.
- Therefore, the other candidate received:
\[ 92\% - 48\% = 44\% \]

3. **Understanding the Winning Margin**:
- The candidate who received `48%` won by `1100` votes. This means the difference in the votes received by the two candidates is:
\[ 48\% - 44\% = 4\% \]

4. **Setting Up the Equation**:
- We know that `4%` of the total votes corresponds to the winning margin of `1100` votes. We can set up the equation:
\[ 4\% \text{ of Total Votes} = 1100 \]

5. **Calculating Total Votes**:
- To find the total votes, we can express `4%` as a fraction:
\[ 4\% = \frac{4}{100} = \frac{1}{25} \]
- Therefore, we can write:
\[ \frac{1}{25} \times \text{Total Votes} = 1100 \]
- Multiplying both sides by `25` gives:
\[ \text{Total Votes} = 1100 \times 25 \]
- Calculating this gives:
\[ \text{Total Votes} = 27500 \]

### Final Answer:
The total number of votes is **27,500**.