Question
Download Solution PDFIn an election, a candidate secures 40% of the votes, but is defeated by the only other candidate with a majority of 298 votes. Find the total number of votes recorded.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Candidate A secures 40% of the votes.
Candidate B secures the remaining votes, which is 60%.
Majority by Candidate B = 298 votes.
Calculations:
Let the total number of votes be V.
Votes secured by Candidate A = 0.40V.
Votes secured by Candidate B = 0.60V.
According to the problem, the difference in votes is:
Votes of Candidate B - Votes of Candidate A = 298.
Substituting the values gives:
0.60V - 0.40V = 298.
0.20V = 298.
Now solving for V:
V = 298 / 0.20 = 1490.
∴ The total number of votes recorded is 1490.
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