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%.
- 25% of 12 = 3.
- New amount: 12 + 3 = 15.
Answer: 15
Increase 4 by 50%.
- 50% of 4 = 2.
- New amount: 4 + 2 = 6.
Answer: 6
Increase 60 by 10%.
- 10% of 60 = 6.
- New amount: 60 + 6 = 66.
Answer: 66