Calculating Commissions and Discounts

This lesson covers multi-step ratio problems, focusing on solving discount and markup scenarios using tape diagrams and equations. It includes examples with shoes, pants, car sales commissions, couch sales, and motorcycle pricing. The lesson emphasizes understanding fractions, percentages, and mathematical operations to determine sale prices, commissions, and profits.

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

• $30

• $10

• $20

• $40

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

• Tape diagram

• Finding a fraction of the cost

• Calculating the fraction to be paid

• Using a calculator

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

• $44

• $33

• $22

• $11

How do you calculate the amount saved on a discount using fractions?

• Add the fraction to the original price

• Multiply the fraction by the original price

• Subtract the fraction from the original price

• Divide the fraction by the original price

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

• $3,333.08

• $1,833.25

• $249.92

• $2,499.17

How is the commission calculated using a tape diagram?

• Divide the total price by the commission rate

• Multiply the total price by the commission rate

• Divide the total price into equal parts and take one part

• Subtract the commission rate from the total price

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

• $480

• $320

• $160

• $640

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

• Subtract the markup from the original price

• Add the markup to the original price

• Divide the original price by the markup

• Multiply the original price by the markup

If a motorcycle is sold for $14,000 after a 1/5 markup, what was the original price?

• $11,666.67

• $13,333.33

• $12,000.00

• $14,000.00

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

• Original price = Selling price + Markup

• Original price = Selling price - Markup

• Selling price = Original price + Markup

• Markup = Selling price - Original price