is the increase when referencing something that is sold for more than the cost price given as a percentage of the original amount

is the decrease when referencing something that is sold for less than the cost price given as a percentage of the original amount

Percentage profit and loss

Maths

The ratio unit will cover comparing fractions, percentages and ratios and being able to move fluently between them. This unit ensures pupils have had the opportunity to work with finding the percentage of an amount and the opportunity to calculate interest.

In the prior unit, pupils developed the skills to calculate a given percentage of an amount. In this unit, these skills are extended to performing simple and compound interest calculations.

Percentages

If I increase £45 to £54, what is the percentage gain? 

If I increase £45 to £99, what is the percentage gain? 

If I increase £14 to £56, what is the percentage gain? 

If I decrease £90 to £18, what is the percentage loss? 

If I decrease £88 to £66, what is the percentage loss? 

Match the following so that the number on the right reflects a 20% percentage loss on the number on the left.

If a number increases by 70% and is now 85, what was it originally? 

A mathematician celebrates their shares increasing by 12% which are now worth £100.80. How much did they originally invest?

If a number increases by 82% and is now 163.8, what was it originally? 

This lesson will be removed by end of Summer Term 2025.

Percentage profit and loss

Lesson outcome

This lesson will be removed by end of Summer Term 2025.