How To Calculate A Percentage Change

This lesson covers:

  1. How to find what percentage a number has increased or decreased by
  2. E.g. 'A cat grows from 0.7 kg to 1.8 kg. What was the percentage increase in the cats mass?'

The price of a jacket increased from £8 to £10. 


What percentage did the price increase by?

25

%

%

0

/

1

A new road shortens the journey time from Bristol to Bath, from 20 minutes, to 17 minutes.


What percentage did the length of the journey decrease by?

15

%

%

0

/

1

The value of a painting rises from £140,000 to £175,000.


Work out the percentage increase in the value of the painting.

25

%

%

0

/

1

Sarah bought a TV for £300. Three years later she sold it for £240.


Work out her percentage loss.

20

%

%

0

/

1

A car is travelling at 60 kilometres per hour. The car increases its speed to 69 kilometres per hour.


Calculate the percentage increase in the speed of the car. 

15

%

%

0

/

1

Eric bought a lamp for £110. Four months later he sold the lamp for £154.


Calculate the percentage profit.

40

%

%

0

/

1

The population of Bristol in 2000 was 390,716. In 2019 the population was 467,099.


By what percentage did the population increase by?

(Give your answer correct to one decimal place)

19.5

%

%

0

/

1

In a sale the price of a dishwasher decreases from £500 to £410. 


Work out the percentage decrease in price. 

18

%

%

0

/

1