percentages · Year 7 · Suggested learning sequence

Percentage increase and decrease

To increase or decrease an amount by a percentage, do it in two steps. First find that percentage of the amount — the change. Then combine it: add for an increase, subtract for a decrease. To increase 60 by 10%: 10% of 60 = 6, then 60 + 6 = 66. To decrease 60 by 10%: 60 − 6 = 54. The change on its own is not the answer — you must apply it to the starting amount, and check the direction word 'increase' or 'decrease' before you add or subtract.

Sample questions

Increase 12 by 25%.

  1. 25% of 12 = 3.
  2. New amount: 12 + 3 = 15.

Answer: 15

Increase 4 by 50%.

  1. 50% of 4 = 2.
  2. New amount: 4 + 2 = 6.

Answer: 6

Increase 60 by 10%.

  1. 10% of 60 = 6.
  2. New amount: 60 + 6 = 66.

Answer: 66

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