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

Correct answer: C. 16800

  • A. 10000
  • B. 16400
  • C. 16800
  • D. 18000Everyday Science Quiz

Explanation

Since 9,261 votes are 75% of the valid votes, valid votes = 9,261 ÷ 0.75 = 12,348 votes. These are 98% of the votes cast, so votes cast = 12,348 ÷ 0.98 = 12,600 votes; because this is 75% of the enrolled voters, the electorate is 12,600 ÷ 0.75 = 16,800 voters. The likely mistake is stopping at 12,348 or failing to adjust for the 2% invalid votes.

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