Question

In an election between two candidates, the candidate who secures 30% votes is defeated by 4360 votes. Find the number of votes secured by the winning candidate:

• A. 7490
• B. 7630
• C. 7080
• D. 7070

Answer 1

Answer:

B. 7630

The winning candidate secured 7,630 votes.

1. Find the percentage margin between the candidates

• Defeated candidate's votes: 30%

• Winning candidate's votes: 100% - 30% = 70%

• Winning margin in percentage: 70% - 30% = 40%

2. Calculate the total number of votes cast

Since the 40% margin represents a difference of 4,360 votes:
$40\% \text{ of Total Votes} = 4360$
$\text{Total Votes} = \frac{4360 \times 100}{40} = \mathbf{10,900 \text{ votes}}$

3. Find the votes secured by the winning candidate

The winning candidate received 70% of the total votes:
$\text{Winning Candidate's Votes} = 70\% \text{ of } 10,900$
$\text{Winning Candidate's Votes} = \frac{70 \times 10900}{100} = \mathbf{7,630 \text{ votes}}$