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Three candidates in a election received ...

Three candidates in a election received 1136 , 7636 and 11628 votes respectively .what percentage of the total votes did the winning candidate get ?

A

`11.6%`

B

`60 %`

C

`76 . 4%`

D

None of these

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AI Generated Solution

The correct Answer is:
To find out what percentage of the total votes the winning candidate received, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the votes received by each candidate**: - Candidate 1: 1136 votes - Candidate 2: 7636 votes - Candidate 3 (winning candidate): 11628 votes 2. **Calculate the total number of votes**: \[ \text{Total votes} = 1136 + 7636 + 11628 \] \[ \text{Total votes} = 20400 \] 3. **Determine the number of votes received by the winning candidate**: - The winning candidate received 11628 votes. 4. **Calculate the percentage of total votes received by the winning candidate**: \[ \text{Percentage} = \left( \frac{\text{Votes of winning candidate}}{\text{Total votes}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{11628}{20400} \right) \times 100 \] 5. **Perform the division**: \[ \frac{11628}{20400} \approx 0.57 \] 6. **Multiply by 100 to convert to percentage**: \[ 0.57 \times 100 = 57\% \] ### Final Answer: The winning candidate received **57%** of the total votes.
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