The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Percentage Multipliers (2)

In this worksheet, students use percentage multipliers to work out the final price after a percentage increase or decrease.

'Percentage Multipliers (2)' worksheet

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:  

down

Worksheet Overview

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?

 

Answer

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?

 

Answer

We must decrease £90 by 15%. 

The multiplier is 1 - 0.15 = 0.85

Answer is £90 x 0.85 = £76.50

 

Use a percentage multiplier to calculate the final price.

 

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

£65.50

£61.75

£68.25

£97.50

Use a percentage multiplier to calculate the final price.

 

A car costs £9500 + 20% VAT.

£9520

£1900

£11250

£11400

Use a percentage multiplier to calculate the final price.

 

A football costs £12 less a 10% discount

£11.90

£10

£10.80

£11

Use a percentage multiplier to calculate the final price.

 

A suitcase costs £48 less a 25% discount

£12

£36

£60

£47.75

Use a percentage multiplier to calculate the final price.

 

A bicycle costs £150 + 20% VAT.

£120

£180

£150.20

£152

Use a percentage multiplier to calculate the final price.

 

A leather handbag costs €80 less a 12% discount

€70.40

€70.04

€68

€89.60

Use a percentage multiplier to calculate the final price.

 

A motorbike costs €2500 + 22% VAT.

€3050

€2522

€1950

€3000

Use a percentage multiplier to calculate the final price.

 

A clock costs €145 + 15% VAT.

€175

€168.25

€166.75

€170

Use a percentage multiplier to calculate the final price.

 

A book costs £15 less an 8% discount

£12

£12.50

£13.08

£13.80

Use a percentage multiplier to calculate the final price.

 

A picture costs £74 less a 12½% discount

£83.25

£64.75

£63

£65.25

  • Question 1

Use a percentage multiplier to calculate the final price.

 

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

CORRECT ANSWER
£68.25
EDDIE SAYS
£65 × 1.05
  • Question 2

Use a percentage multiplier to calculate the final price.

 

A car costs £9500 + 20% VAT.

CORRECT ANSWER
£11400
EDDIE SAYS
£9500 × 1.2
  • Question 3

Use a percentage multiplier to calculate the final price.

 

A football costs £12 less a 10% discount

CORRECT ANSWER
£10.80
EDDIE SAYS
£12 × 0.9
  • Question 4

Use a percentage multiplier to calculate the final price.

 

A suitcase costs £48 less a 25% discount

CORRECT ANSWER
£36
EDDIE SAYS
£48 × 0.75
  • Question 5

Use a percentage multiplier to calculate the final price.

 

A bicycle costs £150 + 20% VAT.

CORRECT ANSWER
£180
EDDIE SAYS
£150 × 1.2
  • Question 6

Use a percentage multiplier to calculate the final price.

 

A leather handbag costs €80 less a 12% discount

CORRECT ANSWER
€70.40
EDDIE SAYS
€80 × 0.88
  • Question 7

Use a percentage multiplier to calculate the final price.

 

A motorbike costs €2500 + 22% VAT.

CORRECT ANSWER
€3050
EDDIE SAYS
€2500 × 1.22
  • Question 8

Use a percentage multiplier to calculate the final price.

 

A clock costs €145 + 15% VAT.

CORRECT ANSWER
€166.75
EDDIE SAYS
€145 × 1.15
  • Question 9

Use a percentage multiplier to calculate the final price.

 

A book costs £15 less an 8% discount

CORRECT ANSWER
£13.80
EDDIE SAYS
£15 × 0.92
  • Question 10

Use a percentage multiplier to calculate the final price.

 

A picture costs £74 less a 12½% discount

CORRECT ANSWER
£64.75
EDDIE SAYS
£74 × 0.875
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1