In an election, three candidates contested. The first candidate got 40% votes and the second got 30% votes. If total number of votes polled were 36000, find the number of votes got by the 3rd candidate.

Options

A. 8040
B. 8640
C. 9360
D. 10800

Answer

To find the number of votes received by the third candidate in the election, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the percentages of votes received by the first and second candidates**:
- First candidate: 40% of the total votes
- Second candidate: 30% of the total votes

2. **Calculate the total percentage of votes received by the first and second candidates**:
- Total percentage for the first and second candidates = 40% + 30% = 70%

3. **Determine the percentage of votes received by the third candidate**:
- Since the total percentage of votes must equal 100%, the percentage of votes received by the third candidate is:
\[ 100\% - 70\% = 30\% \]

4. **Calculate the total number of votes polled**:
- Total votes = 36,000

5. **Calculate the number of votes received by the third candidate**:
- To find the number of votes for the third candidate, we calculate 30% of the total votes:
\[ \text{Votes for third candidate} = \frac{30}{100} \times 36000 \]
- Simplifying this:
\[ = 0.30 \times 36000 = 10800 \]

6. **Conclusion**:
- The third candidate received **10,800 votes**.

### Final Answer:
The number of votes received by the third candidate is **10,800**.

---