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Finding Increase or Decrease Percentage in Situations

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Question

There were only two candidates who participated an election. One contestant got $62 %$ votes and was elected by a margin of $144$ votes. The total number of votes are__.

A

500

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B

600

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C

700

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D

800

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Solution

The correct option is A $600$
Elected candidate got $\frac{62 x}{100}$ votes
Other candidate got $\frac{38 x}{100}$ votes
Difference between their votes is $144$ votes
$\frac{62 x}{100} - \frac{38 x}{100} = 144$
$\frac{2 x}{100} = 144$
$x = 600$

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