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Q.

1n 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 total valid votes. Find the total number of votes enrolled in that election. 

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a

16800

b

16080

c

18600

d

16008

answer is B.

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Detailed Solution

Let the total number of votes enrolled be x. Then, Number of votes cast = 7 5% of x. Valid votes = 98% of (75 % of x).

∴75% of [98% of (75% of x)]=9261⇒75100×98100×75100×x=9261⇒x=9261×100×100×10075×98×75=16800.

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