Calculating Prices and Discounts

This lesson covers multi-step ratio problems, focusing on solving discount and markup scenarios using tape diagrams and mathematical equations. It includes examples of calculating discounts on shoes and pants, determining sales commission for cars, and finding profit from furniture sales. The lesson concludes with a method to find the original price of a motorcycle after markup.

What is the sale price of shoes originally priced at $40 with a 1/4 discount?

• $40

• $10

• $20

• $30

Which method is considered the most efficient for solving discount problems?

• Using a calculator

• Calculating the fraction to pay

• Finding the fraction of the cost

• Tape diagram

If pants are originally $33 and are discounted by 1/3, what is the sale price?

• $22

• $44

• $11

• $33

How do you calculate the amount saved on a $33 item with a 1/3 discount?

• Subtract $11

• Add $11

• Multiply by 1/3

• Divide by 3

What is the commission on a car sold for $2,999 with a 1/12 commission rate?

• $3,333.08

• $2,499.17

• $1,833.25

• $249.92

Which method is NOT used to calculate sales commission?

• Mathematical calculation

• Using a calculator

• Tape diagram

• Guessing

What is the profit on a couch originally priced at $2,400, marked up by 1/3, and then discounted by 1/5?

• $640

• $480

• $320

• $160

How do you find the marked-up price of an item?

• Add the original price

• Divide by the markup rate

• Subtract the discount

• Multiply by the markup rate

What is the original price of a motorcycle sold for $14,000 after a 1/5 markup?

• $13,333.33

• $12,000.00

• $11,666.67

• $14,000.00

Which equation represents the relationship between original price, markup, and selling price?

• Markup = Selling price - Original price

• Original price = Markup + Selling price

• Original price = Selling price - Markup

• Selling price = Original price + Markup