Understanding Discounts and Original Prices

This video tutorial explains how to calculate the original price of an item after a discount is applied. It uses a formula where the new price equals one minus the discount rate times the original price. The tutorial provides two examples: a laptop purchased with a 20% discount and a vehicle with a 17% discount. It demonstrates how to convert percentages to decimals and verify solutions by recalculating the discount. The video aims to help viewers understand and apply the formula to similar problems.

What is the first step in calculating the original price of an item after a discount?

• Add the discount percentage to the final price.

• Convert the discount percentage to a decimal.

• Multiply the discount percentage by the final price.

• Subtract the discount percentage from the final price.

In the formula 'new price = (1 - r) * original price', what does 'r' represent?

• The final price

• The sales tax

• The discount percentage as a decimal

• The original price

Why do we use a negative sign in the formula when dealing with a discount?

• Because the discount decreases the price

• Because the discount increases the price

• Because the discount is a fixed amount

• Because the discount is added to the price

How do you convert a percentage to a decimal?

• Divide by 10

• Multiply by 100

• Divide by 100

• Multiply by 10

What is the original price of a laptop if the final price after a 20% discount is $320?

• $320

• $380

• $400

• $360

How can you verify the original price calculation?

• By adding the discount to the final price

• By calculating the discount amount and checking the final price

• By multiplying the final price by the discount percentage

• By subtracting the discount from the original price

What is the original price of a car if the final price after a 17% discount is $12,450?

• $14,000

• $13,500

• $12,450

• $15,000

In the car purchase example, what is the decimal equivalent of a 17% discount?

• 0.17

• 1.7

• 17

• 0.017

What percentage of the original price does the new price represent after a 17% discount?

• 50%

• 100%

• 17%

• 83%

What is the purpose of dividing the final price by the decimal form of the remaining percentage?

• To determine the original price

• To calculate the sales tax

• To find the discount amount

• To adjust for inflation