Question
In 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?Solution
ATQ,
⇒ 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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