GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Percentages - Explained

The video tutorial explains a reverse percentage problem involving the sale of a house. Jerry sold his house to Mia at a 20% profit. Mia later sold it at a 10% loss for £162,000. The tutorial demonstrates how to calculate the original price Jerry paid by first determining Mia's purchase price using reverse percentages, then calculating Jerry's original purchase price. The problem is broken down into steps, with explanations on how marks are awarded for each part of the solution.

What was the percentage profit Jerry made when he sold the house to Mia?

• 10%

• 15%

• 20%

• 25%

If Mia sold the house for £162,000 at a 10% loss, what was the original price she paid?

• £180,000

• £145,800

• £162,000

• £200,000

How do you calculate the full price from a known percentage of it?

• Subtract 10% from the known amount

• Add 10% to the known amount

• Divide the known amount by the percentage and multiply by 100

• Multiply the known amount by the percentage

What was the equivalent percentage of the £180,000 that Mia paid, in terms of Jerry's sale price?

• 100%

• 110%

• 120%

• 130%

What was the original price Jerry paid for the house?

• £150,000

• £162,000

• £200,000

• £180,000