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Percentage Change - GCSE Mathematics - Revision and Examples

1. Percentage Change

Percentage change can also be called percentage increase, percentage decrease, percentage profit, percentage gain, percentage reduction or percentage loss.

When we calculate percentage change, we are determining how much something has changed relative to its initial value. 

We use the percentage change formula:

GCSE Topicwise Percentage Change Article Image 04

1.1 How to calculate Percentage Change?

In order to calculate percentage change, we use the following methods: 

  1. Work out change i.e. how much the value has changed using subtraction.
  2. Apply the percentage change formula:

          GCSE Topicwise Percentage Change Article Image 04

    3. Simplify the fraction if necessary using equivalent fractions. 

    4. Convert the fraction to a decimal. 

    5. Calculate percentage change.

Example: In 2000 the minimum wage for adults was £3.60 per hour. In 2016 it was £6.31 per hour. Work out the percentage increase in the minimum wage..

Solution:

GCSE Percentage Change Image 01

Example: The table shows information about the population of a city.

Population in 2001 Population in 2011
4,20,000 4,80,000

John claims,

"From 2011 to 2021 the population of the city will increase by the same percentage as from 2001 to 2011" 

He works out, 

The population increase from 2001 to 2011 = 4,80,000 - 4,20,000 = 60,000

The population in 2021 = 4,80,000 + 60,000 = 5,40,000

Does the population of 5,40,000 match his claim? 

Solution: 

GCSE Percentage Change Image 02

Example: Last year Aaniya paid £245 for her car insurance. This year she has to pay £883 for her car insurance. Work out the percentage increase in the cost of her car insurance.

Solution: 

GCSE Percentage Change Image 03

Quiz Questions
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GCSE Topics

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  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
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  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
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    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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