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in Mathematics by (63.7k points)

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 votes enrolled in that election.

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Best answer

Let the number of votes enrolled be x. Then , 

Number of votes cast =75% of x. Valid votes = 98% of (75% of x). 

75% of (98% of (75%of x)) = 9261. 

[(75/100)*(98/100)*(75/100)*x] =9261. 

x = [(9261*100*100*100)/(75*98*75)] =16800.

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