Working back to old price

You learn to work out the old price of an item when you know the discount and the sale price.

How to work it out

  1. The sale price is less than 100%: after 25% discount you pay 75%.
  2. Divide the new price by that percentage for 1%, and do times 100 for the old price.

New price £60 after 25% discount

  1. First write down what you know: after 25% off you pay 75%, and that is £60.
  2. Divide by 3 for 25%: 60 ÷ 3 = 20.
  3. Multiply by 4 for 100%: 4 × 20 = 80.
  4. The old price was £80.
More examples

New price £72 after 20% discount

  1. First write down what you know: after 20% off you pay 80%, and that is £72.
  2. Divide by 4 for 20%: 72 ÷ 4 = 18.
  3. Multiply by 5 for 100%: 5 × 18 = 90.
  4. The old price was £90.

New price £45 after 10% discount

  1. First write down what you know: after 10% off you pay 90%, and that is £45.
  2. Divide by 9 for 10%: 45 ÷ 9 = 5.
  3. Multiply by 10 for 100%: 10 × 5 = 50.
  4. The old price was £50.