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In an election between three candidates, 10% of the voters did not cast their votes and 10% of the votes cast were declared invalid. The ratio of votes polled to all the candidates is 5 : 9 : 13. If the number of votes that are not cast is 320, then what is the difference between candidate gets maximum numbers of votes to the candidate get minimum numbers of votes?

In an election between three candidates, 10% of the voters did not cast their votes and 10% of the votes cast were declared invalid. The ratio of votes polled to all the candidates is 5 : 9 : 13. If the number of votes that are not cast is 320, then what is the difference between candidate gets maximum numbers of votes to the candidate get minimum numbers of votes? Correct Answer 768

Let the number of voters be 100x

According to the question,

10% of the voters did not cast their votes

Number of voters did not casted their votes

⇒ (10/100) × 100x = 10x

Number of votes casted

⇒ 100x – 10x = 90x

10% of the votes casted were declared invalid

⇒ Number of valid votes

(90/100) × 90x = 81x

Now,

10x = 320

⇒ x = 32

81x = 81 × 32 = 2592

Let the number of votes three candidate get be 5y, 9y and 13y

5y + 9y + 13y = 2592

y = 96

Difference between candidate gets maximum votes to the candidate gets minimum votes

13y – 5y = 8y

8y = 8 × 96 = 768

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