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Question

# In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of enrolled voters.

A

9261

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B

2600

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C

16800

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D

26800

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Solution

## The correct option is C 16800 Let the total number of voters enrolled be x. Number of votes cast = 75% of x Since 2% of casted votes are valid, so the total valid vote will be 98% of the casted vote i.e. Valid votes = 98% of 75% of x Now, it is given that 9261 is the 75% of valid casted votes so, 75% of 98% of 75% of x = 9261 ⇒75×98×75100×100×100×x=9261 ⇒x=9261×100×100×10075×98×75 ∴x=16800 Therefore, the total number of voters enrolled are 16800.

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