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Percentage change
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EasyQuestion 1
[2 marks]A shop buys a jacket for £40 and sells it for £52.
Work out the percentage profit.
Solution for Question 1
MediumQuestion 2
[3 marks]The population of a town was 45,000 in 2020.
In 2023, the population was 51,300.
Work out the percentage increase.
Solution for Question 2
HardQuestion 3
[4 marks]Amy bought a car for £8,500.
After 3 years, she sold it for £4,930.
(a) Calculate the percentage decrease in the car's value.
(b) If the car lost the same percentage of its value each year, what was the annual percentage decrease?
Solution for Question 3
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Percentage change measures how much something has increased or decreased as a percentage of the original. The formula is: Percentage change = (Change ÷ Original) × 100.
If the result is positive, it's a percentage increase. If negative, it's a percentage decrease. Always divide by the ORIGINAL value, not the new value - this is a common mistake.
Percentage change is used for profit/loss calculations, population growth, price changes, and comparing data over time. For example, if a share price goes from £50 to £65, the change is £15, so percentage change = (15 ÷ 50) × 100 = 30% increase.
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