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In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?

Correct answer: A. 2700

  • A. 2700
  • B. 2900
  • C. 3000
  • D. 3100

Explanation

Invalid votes are 20% of 7,500 votes, so valid votes = 80% × 7,500 = 6,000 votes. The first candidate received 55% × 6,000 = 3,300 votes, leaving the other candidate 6,000 − 3,300 = 2,700 valid votes. The likely mistake is calculating 45% of all 7,500 votes instead of 45% of the valid 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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