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In an examination, 65 % of the total examinees passed if the number of failures is 420, the total number of examinees is:_________?

Correct answer: B. 1200

  • A. 500
  • B. 1200
  • C. 1000
  • D. 1625

Explanation

If 65% passed, then 35% failed. Therefore, 35% of the total is 420 examinees, so the total is 420 ÷ 0.35 = 1,200 examinees. Students may choose 500 by adding or subtracting the percentage figure instead of treating 420 as 35% of the total.

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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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