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In a local election, there were 20,000 voters. Candidate A received 40% of the total votes, and Candidate B received 50% of the total votes. The remai
Question

In a local election, there were 20,000 voters. Candidate A received 40% of the total votes, and Candidate B received 50% of the total votes. The remaining votes were split equally between two other candidates, C and D. How many votes did Candidate C receive?

A.

1000

B.

700

C.

1200

D.

600

Correct option is A

Given:
Total number of voters = 20,000
Votes received by Candidate A = 40% of total votes
Votes received by Candidate B = 50% of total votes
Remaining votes are split equally between Candidates C and D.
Solution:
First, we calculate the total percentage of votes secured by Candidates A and B together.
Total percentage for A and B = 40% + 50% = 90%
Now, we determine the percentage of the remaining votes.
Remaining percentage = 100% - 90% = 10%
These remaining 10% of the total votes were divided exactly equally between Candidates C and D.
Percentage of votes Candidate C received = 102=5%\frac{10}{2} = 5 \%​​
To find the exact number of votes Candidate C received, we calculate 5% of the total voters.
Number of votes for C = 5100×20000 \frac{5}{100} × 20000​​
Number of votes for C = 5 × 200 = 1000
Final Answer
So the correct answer is (a)

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