Reverse Percentage - Finding Price Before A % Discount

This lesson covers:

  1. How to find the original value before a percentage change has taken place
  2. This is sometimes known as 'reverse percentages'
  3. E.g. 'Kristof is given a 5% pay rise. His new salary is £24,150. What was Kristof's salary before the pay rise?'

Kristof is given a 5% pay rise. His new salary is £24,150


What was Kristof's salary before the pay rise? 

23000

£

£

0

/

1

In a sale the price of a sofa is reduced by 40%. The sale price is £270.


Work out the price before the sale. 

450

£

£

0

/

1

The price of a train ticket from Bristol to Exeter increases by 6%. The new price of the ticket is £15.37.


How much did the ticket cost before the increase? 

14.50

£

£

0

/

1

A PlayStation game is on sale at £45. This is a 10% discount of the normal price.


What was the price of the game before the discount? 

50

£

£

0

/

1

A holiday is on sale for £560. This is a 30% discount of the normal price.


What was the price of the holiday before the discount? 

800

£

£

0

/

1

A garage that sells cars offers a 15% discount when paying cash. Dave takes advantage of the deal and pays £6800 cash for a car.


Calculate the non-cash price of the car. 

8000

£

£

0

/

1

In a sale, normal prices are reduced by 25%. The sale price of a dress is £31.50


Calculate the normal price of the dress. 

42

£

£

0

/

1

A fish tank begins to leak and loses 35% of its water. There are now 247 litres of water in the fish tank.


How much water was in the fish tank before it leaked? 

380

L

L

0

/

1