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Question : In an election between two candidates, 85% of the electorate cast their votes. 6% of the votes polled were declared invalid. If the winning candidate secured 60% of the valid votes, how many votes did the winning candidate receive if the number of eligible voters was 10000?

Option 1: 4784 votes

Option 2: 4804 votes

Option 3: 4794 votes

Option 4: 4824 votes


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 4794 votes


Solution : The total number of eligible voters = 10000
The percentage of voters who cast their votes = 85%
The percentage of votes declared invalid = 6%
The winning candidate's percentage of valid votes = 60%
The total number of votes cast = 85% of total eligible voters
The total number of votes cast = 0.85 × 10000 = 8500 votes
The number of invalid votes = 6% of total votes cast
The number of invalid votes = 0.06 × 8500 = 510 votes
The number of valid votes
= The total number of votes cast – The number of invalid votes
 = 8500 – 510 = 7990 votes
The number of votes received by the winning candidate
= 60% of valid votes = 0.60 × 7990 = 4794 votes
Hence, the correct answer is 4794 votes.

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