Question
Download Solution PDFIn an election between two candidates, a candidate who gets 78% of the votes is elected by a majority of 448 votes. What is the total number of votes polled?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Percentage of votes received by the winning candidate = 78%
Majority = 448 votes
Formula used:
Majority = Votes received by the winner - Votes received by the loser
Total votes polled = Votes received by the winner + Votes received by the loser
Calculation:
⇒ Votes received by the winner = (78/100) × Total votes
⇒ Votes received by the loser = (22/100) × Total votes
⇒ Majority = (78/100) × Total votes - (22/100) × Total votes
⇒ 448 = [(78 - 22)/100] × Total votes
⇒ 448 = (56/100) × Total votes
⇒ Total votes = (448 × 100) / 56
⇒ Total votes = 800
∴ The total number of votes polled is 800.
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