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One clerk works out 24% of 350 and another works out 35% of 240. Which of the two figures is larger?

Competition practicePercentage
  • A24% of 350 is larger
  • Bthe two figures are equal
  • C35% of 240 is larger
  • Dit cannot be settled without knowing the units

Step-by-Step Solution

24% of 350 = 84 and 35% of 240 = 84, so the two are equal. This is not a coincidence: a% of = (a b)/% of a, so swapping the rate and the quantity never changes the answer. It makes a handy shortcut too - 48% of 25 looks awkward, but it is the same thing as 25% of 48, which is 12. The two 'larger' options assume that the bigger rate, or the bigger quantity, must win; only the product of the two matters. Nothing about units is missing here.
Answer: B) the two figures are equal

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