How do you find the original price of a sale item when a percentage decrease has been applied?

Let's use an example, for instance, a pair a trainers in the sale are advertised as having 25% off, and are now a price of £24. How would you find the original price of the trainers before the sale?Firstly, use the information in the question and write down what you know. If the trainers cost £24 when 25% is taken off, you know that 75% of the original price is £24.Next, think about what 75% mean; 75 out of 100, or 75/100. So you know £24 is 75 hundredths of the original price, and to find the original price, you need to find what 100 hundredths, 100/100, is.The easiest way to do this is to is to find what 1 hundredth, 1/100, of the original price, and multiply it by 100. If 75/100 is £24, then 1/100 can be found by doing £24 divided by 75, then multiply by 100 to give the original price, in this case, (£24/75)*100= £32

EG

Related Maths GCSE answers

All answers ▸

A rectangle has an area of 20 cm2. Its lengths are enlarged by a factor of 3. What is the area of the new rectangle?


Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3 : 7 Imran then gives 3/5 of his share of the money to Bhavin. What percentage of the 6000 rupees does Bhavin now have? Give your answer correct to the nearest whole number.


Solve the quadratic equation: x^2 - 2x - 15 = 0


The population of sheep on an island is 170. The population of the sheep is expected to increase by 3% each year, what will the population of sheep be in 5 years time? [3 marks]