Question : Two candidates contested an election. One of them got 64% of the votes and won by 434 votes. What was the total number of votes polled?
Option 1: 1550
Option 2: 1345
Option 3: 1680
Option 4: 1684
Correct Answer: 1550
Solution :
Given:
The candidate got 64% of the total votes.
Let the total number of votes be $x$.
⇒ Votes received by winner = 64% of $x=\frac{64x}{100}$
According to the question,
$\frac{64x}{100}−(x−\frac{64x}{100})=434$
⇒ $\frac{64x}{100}−\frac{36x}{100}=434$
⇒ $\frac{28x}{100}=434$
$\therefore x=1550$
Hence, the correct answer is 1550.
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