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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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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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