Percentage increase and decrease

The Maths Habit

A coat is reduced by 50%. Then the new price goes up by 50%. Is it back to the original price?

No

Find 10% of

  1. £90

    £9
  2. £40

    £4
  3. £250

    £25
  4. £7

    £0.70

Multiplier
The decimal you multiply by to increase or decrease an amount in one step.

Increase £50 by 20%

100% = £50

Write the multiplier

Increase by 45% 1.45

Increase £40 by 15%

100% = £405% = £2+15%115% = £46
Answer£46

Increase £80 by 35%

100% = £805% = £4+35%135% = £108
Answer£108

Increase £40 by 15%

100% = £405% = £2+15%115% = £46
Answer£46

Increase £120 by 45%

100% = £1205% = £6+45%145% = £174
Answer£174

Write the multiplier

Decrease by 8% 0.92

Decrease £90 by 20%

100% = £9010% = £980% = £72
Answer£72

Decrease £50 by 30%

100% = £5010% = £570% = £35
Answer£35

Decrease £90 by 20%

100% = £9010% = £980% = £72
Answer£72

Decrease £250 by 40%

100% = £25010% = £2560% = £150
Answer£150

Decrease £90 by 20%

100% = £9010% = £980% = £72
Answer£72

Decrease £40 by 70%

100% = £4010% = £430% = £12
Answer£12

Decrease £90 by 20%

100% = £9010% = £980% = £72
Answer£72

Increase £60 by 25%

100% = £605% = £3+25%125% = £75
Answer£75

Decrease £90 by 20%

100% = £9010% = £980% = £72
Answer£72

Decrease £180 by 5%

100% = £1805% = £995% = £171
Answer£171

Percentage increase and decrease worksheet, page 1

Percentage increase and decrease worksheet, page 2

Answer sheet

  1. Tom increases 50 by 10%, then increases his answer by 10%. Ana increases 50 by 20%. Who gets the bigger number?

    Tom
  2. The value of a phone falls from £400 to £340. What percentage decrease is that?

    15%
  3. A price is multiplied by 0.87. Is this an increase or a decrease? By what percentage?

    a 13% decrease

A coat costs £80. It is reduced by 50%, then the new price is increased by 50%. What does it cost now?

£60

  1. Increase £70 by 15%

    £80.50
  2. Decrease £160 by 35%

    £104
  3. An amount is multiplied by 0.94. Is this an increase or a decrease? By what percentage?

    a 6% decrease
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