Reverse Percentages: Finding the Original Value After an Increase or Decrease

The video tutorial explains reverse percentages, focusing on finding original values after percentage increases or decreases. It introduces the concept of using a multiplier factor for efficient calculations. Several examples are provided, including scenarios of percentage increase and decrease, as well as population changes. The tutorial emphasizes the importance of understanding the structure of reverse percentages to solve problems effectively.

What is the primary focus of reverse percentages?

• Comparing two different percentage changes

• Finding the new value after a percentage change

• Calculating the original value after a percentage change

• Determining the percentage change itself

If a number increased by 12% to become 22.4, what was the original number?

• 18

• 20

• 22

• 24

What is the multiplier factor for a 12% increase?

• 1.12

• 0.88

• 1.2

• 0.12

A number decreased by 35% to become 143. What was the original number?

• 240

• 180

• 220

• 200

What is the multiplier factor for a 35% decrease?

• 0.35

• 1.35

• 1.65

• 0.65

If a population increased by 15% to 736, what was the original population?

• 700

• 640

• 680

• 720

A town's population fell by 3% to 4,365. What was the earlier population?

• 4,600

• 4,500

• 4,200

• 4,300