Question : In an election between two candidates, a candidate who gets 64% of the votes polled is elected by a majority of 252 votes. What is the total number of votes polled?
Option 1: 950
Option 2: 900
Option 3: 850
Option 4: 800
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Correct Answer: 900
Solution : Percentage of votes won by the winner = 64% $\therefore$ Number of votes for losing candidate = (100 – 64)% = 36% Let the total number of votes be Q. According to the question, Q × $\frac{(64 - 36)}{100}$ = 252 ⇒ Q × $\frac{28}{100}$ = 252 ⇒ Q = $\frac{252\times 100}{28}$ $\therefore$ Q = 900 Hence, the correct answer is 900.
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