# Reverse Percentages

In this lesson, we will learn how to calculate reverse percentages. We will learn how to take a given quantity as a percentage of a whole, and use it to calculate the value of the whole.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.An item was bought for £40 then sold for £50. The selling price was a percentage increase of 20%.

1/4

Q2.An item was bought for £40 then sold for £60. Find the percentage change.

2/4

Q3.An item was bought for £80 then sold for £50. Find the percentage change.

3/4

Q4.A clothes shop normally sells their goods at 80% above cost price. In a sale, the shop reduces the prices by 25%. What percentage profit does the shop make on clothes sold in the sale?

4/4

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.An item was bought for £40 then sold for £50. The selling price was a percentage increase of 20%.

1/4

Q2.An item was bought for £40 then sold for £60. Find the percentage change.

2/4

Q3.An item was bought for £80 then sold for £50. Find the percentage change.

3/4

Q4.A clothes shop normally sells their goods at 80% above cost price. In a sale, the shop reduces the prices by 25%. What percentage profit does the shop make on clothes sold in the sale?

4/4

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Reverse percentages

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If 20% of a number is 32, find 100%

1/4

Q2.If 7% of a number is 14, find 100%

2/4

Q3.A shop has a sale with 10% discount on all items. If a coat costs £45 in the sale. What was its original price?

3/4

Q4.Tim is a car salesman. He bought a car for £5000. Currently he is holding a sale with 35% off the price of all cars. Tim wants to sell the car so that he makes a 10% profit on the price he paid. How much should Tim advertise the car for?

4/4

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Reverse percentages

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If 20% of a number is 32, find 100%

1/4

Q2.If 7% of a number is 14, find 100%

2/4

Q3.A shop has a sale with 10% discount on all items. If a coat costs £45 in the sale. What was its original price?

3/4

Q4.Tim is a car salesman. He bought a car for £5000. Currently he is holding a sale with 35% off the price of all cars. Tim wants to sell the car so that he makes a 10% profit on the price he paid. How much should Tim advertise the car for?

4/4

# Lesson summary: Reverse Percentages

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Dance