# Percentage Multipliers (1)

In this worksheet, students state percentage multipliers in order to work out percentage increases and decreases.

Key stage:  KS 4

Curriculum topic:  Ratio, Proportion and Rates of Change

Curriculum subtopic:  Set Up, Solve and Interpret Answers in Growth and Decay Problems

Difficulty level:

### QUESTION 1 of 10

Percentage multipliers are useful as a quick way to work out percentage increases and decreases.

Percentage Increases

Multiply by 1 + percentage as a decimal

A 5% increase will multiply the original amount by 1.05

Percentage decreases

Multiply by 1 - percentage as a decimal

A 5% decrease will multiply the original amount by 0.95

Example 1

A table costs £250 plus 20% VAT.  What does it cost with VAT included?

We must increase £250 by 20%.

The multiplier is 1 + 0.20 = 1.20 or 1.2

Answer is £250 x 1.2 = £300

Example 2

A tennis racket costs £90 but there is then a discount of 15%.  What does it cost after the discount is applied?

We must decrease £90 by 15%.

The multiplier is 1 - 0.15 = 0.85

Answer is £90 x 0.85 = £76.50

Select the correct percentage multiplier which should be used to calculate the final price.

A car costs £9500 + 20% VAT.

1.02

0.8

1.2

120

Select the correct percentage multiplier which should be used to calculate the final price.

A child's car seat costs £65 + 5% VAT.

1.05

5

1.5

150

Select the correct percentage multiplier which should be used to calculate the final price.

A football costs £15 less an 8% discount.

1.08

0.8

0.08

0.92

Select the correct percentage multiplier which should be used to calculate the final price.

A lamp costs £85 less an 18% discount.

1.8

0.82

0.18

1.18

Select the correct percentage multiplier which should be used to calculate the final price.

A chair costs £225 + 17% after a price rise.

117

17

1.17

2.25

Select the correct percentage multiplier which should be used to calculate the final price.

A CD costs £12.50 less a 10% discount.

0.9

0.10

1.1

1.25

Select the correct percentage multiplier which should be used to calculate the final price.

A DVD costs £17.50 less a ½% discount.

0.95

0.005

0.995

0.5

Select the correct percentage multiplier which should be used to calculate the final price.

A camera costs €140 + 22% VAT.

1.40

22

1.22

140

Select the correct percentage multiplier which should be used to calculate the final price.

A theater ticket costs €95 + 10% VAT.

1.01

1.1

10

1.95

Select the correct percentage multiplier which should be used to calculate the final price.

A handbag costs €44 less a 4% discount.

0.44

1.04

0.60

0.96

• Question 1

Select the correct percentage multiplier which should be used to calculate the final price.

A car costs £9500 + 20% VAT.

1.2
EDDIE SAYS
1 + 0.20
• Question 2

Select the correct percentage multiplier which should be used to calculate the final price.

A child's car seat costs £65 + 5% VAT.

1.05
EDDIE SAYS
1 + 0.05
• Question 3

Select the correct percentage multiplier which should be used to calculate the final price.

A football costs £15 less an 8% discount.

0.92
EDDIE SAYS
1 - 0.08
• Question 4

Select the correct percentage multiplier which should be used to calculate the final price.

A lamp costs £85 less an 18% discount.

0.82
EDDIE SAYS
1 - 0.18
• Question 5

Select the correct percentage multiplier which should be used to calculate the final price.

A chair costs £225 + 17% after a price rise.

1.17
EDDIE SAYS
1 + 0.17
• Question 6

Select the correct percentage multiplier which should be used to calculate the final price.

A CD costs £12.50 less a 10% discount.

0.9
EDDIE SAYS
1 - 0.10
• Question 7

Select the correct percentage multiplier which should be used to calculate the final price.

A DVD costs £17.50 less a ½% discount.

0.995
EDDIE SAYS
1 - 0.005
• Question 8

Select the correct percentage multiplier which should be used to calculate the final price.

A camera costs €140 + 22% VAT.

1.22
EDDIE SAYS
1 + 0.22
• Question 9

Select the correct percentage multiplier which should be used to calculate the final price.

A theater ticket costs €95 + 10% VAT.

1.1
EDDIE SAYS
1 + 0.10
• Question 10

Select the correct percentage multiplier which should be used to calculate the final price.

A handbag costs €44 less a 4% discount.

0.96
EDDIE SAYS
1 - 0.04
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