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PercentageStructured · 3 marks

A survey of 600 pupils was done on their favourite fruit. 25 of the pupils chose mango. 90 pupils chose apple and 150 pupils chose banana. The rest chose durian.

  1. How many pupils chose mango as their favourite fruit?
  2. What percentage of the pupils chose durian as their favourite fruit?
Need a hint?

For (b), first find how many pupils chose durian, then compare that number with the total of 600 pupils.

Worked answer

  1. (a) Mango pupils = 25 of 600 = 600 ÷ 5 × 2 = 240.
  2. (b) Pupils who did not choose mango = 600 - 240 = 360.
  3. Durian pupils = 360 - 90 - 150 = 120.
  4. Durian as a fraction of the total = 120 out of 600 = 15.
  5. 15 = 20 out of 100, so the percentage is 20%.
Answer: 20%

The mistake this question tests

Habit

Percentage of a new total

Pupils often stop at 120 pupils in (b) and forget to change it to a percentage of the total. Remember that the question asks for a percentage.

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