Perhaps the most complex question when dealing with percentages. Reverse percentages are used when you are asked to find the original amount. For this, we will use the concept of ‘Multipliers

Suppose we have the following problem.

The price of a  jacket was reduced by 25%. It is now costing £55.  What was the original price?

We can write the following equation:

And to obtain the original price (P), we just divide both side of the equation by 0.75


Here is another example. This time our example uses a price increase. Suppose we have the following

The value of a house increased by 15%. It is now worth £241,500.  What was the original price?

As before, let’s setup our equation using multipliers and work out the original value of the property.

Fractions - Multiplying & Dividing
Numbers - Ratio (Sharing) & 1:n