Percentage Change

Maths: Edexcel IGCSE Higher, topic 1.6.2

Percentages

If an item originally costing £30 has its price risen by 50%, what is its new price?

We need to calculate a 50% increase on £30

We need to calculate a 50% increase on £30

50% increase will give 150% in total

50% increase will give 150% in total

This is the same as multiplying by 1.5 (divide 150 by 100)

This is the same as multiplying by 1.5 (divide 150 by 100)

So the new price is £45

So the new price is £45

Percentage Change

Format

Format

  • If you are calculating the percentage increase then change = new - old.
  • If you are calculating a percentage decrease then change = old - new.
Example

Example

  • If someone buys ingredients for £20 and sells pancakes using those ingredients for £35 then their profit is £35 - £20 = £15.
  • They make 75% profit as shown in the image.

Test yourself on Percentage Change

  • If a donkey costing £50 increases in price by 40%, what does it now cost?

  • If a donkey costing £50 increases in price by 40%, what does it now cost?

  • If a donkey costing £250 increases in price by 10%, what does it now cost?

  • If a loaf of bread originally cost £2 but has had its price discounted by 20%, what is its new price?

  • If a loaf of bread originally cost £4 but has had its price discounted by 10%, what is its new price?

Practise this topic for free