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A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?

Correct answer: A. 7500

  • A. 7500
  • B. 5000
  • C. 6000
  • D. 3500

Explanation

The candidate received 35% of the votes, so the rival received 65%, making the difference 30% of the total votes. Thus 30% of total votes = 2250 votes, and total votes = 2250 / 0.30 = 7500 votes. The likely mistake is treating 35% as the losing margin and choosing 6000 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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