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
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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