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In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?

Correct answer: A. 430

  • A. 430
  • B. 570
  • C. 480
  • D. 520
  • E. None of these

Explanation

With only two candidates, the winning margin is the difference between 70% and 30%, or 40% of the valid votes. Thus, 40% of the total = 172 votes, so total = 172 ÷ 0.40 = 430 valid votes. The likely trap is 570, which comes from using the losing candidate's percentage incorrectly.

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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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