In an election between two candidates, 75% of the voters cast their votes, out o

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

Options:

A . 16800

B . 16000

C . 18000

D . 16400

Answer: Option A
Answer: (a)Let the total number of voters enrolled be x.Number of votes polled = 75% of x = ${3x}/4$Number of valid votes= ${3x}/4 - 2/100 × {3x}/4 = {3x}/4 - {3x}/200$= ${147x}/200$Now, 75% of ${147x}/200 =9261$or $3/4 of {147x}/200 = 9261$or $x = {9261 × 4 × 200}/{3 × 147} = 16800$

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