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In an election between two candidates, the candidate who gets 30 % of the votes polled is defeated by 15000 votes. The number of votes polled by the winning candidate is:________?

Correct answer: C. 26250

  • A. 11250
  • B. 15000
  • C. 26250
  • D. 37500

Explanation

The losing candidate receives 30%, so the winning candidate receives 70%; their difference is 40% of the total votes. Thus 40% of the total is 15,000, giving total votes = 15,000 / 0.40 = 37,500 and winning votes = 70% of 37,500 = 26,250 votes. Option d is a common error because it gives the total votes, not the votes received by the winner.

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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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