Solving Mark-Up and Discount Problems with Proportions

The video tutorial explains how to solve markup and discount problems using proportions. It begins with traditional methods for calculating discounts and sale prices, using examples like a T-shirt and a TV with sales tax. The tutorial then introduces a proportion method, which simplifies the process by eliminating extra steps. This method is applied to both discount and sales tax scenarios, demonstrating its efficiency and effectiveness.

What is the first step in calculating a discount on an item?

• Multiply the discount rate by the original price

• Subtract the discount rate from 100%

• Divide the original price by the discount rate

• Add the discount rate to the original price

How do you find the sale price of an item after applying a discount?

• Add the discount amount to the original price

• Divide the original price by the discount amount

• Subtract the discount amount from the original price

• Multiply the original price by the discount amount

What is the formula to calculate the final cost including sales tax?

• Original cost multiplied by sales tax rate

• Original cost divided by sales tax rate

• Original cost plus sales tax amount

• Original cost minus sales tax amount

What new method is introduced for solving markup and discount problems?

• Proportion method

• Multiplication method

• Addition method

• Subtraction method

How is the sale price calculated using the proportion method?

• By adding the discount amount to the original price

• By dividing the original price by the discount percentage

• By multiplying the original price with the sale percentage

• By setting up a proportion and solving for the unknown

What percentage do you use on the proportion method for a 30% discount?

• 60%

• 100%

• 70%

• 30%

What is the final price of an item originally priced at $28.50 after a 30% discount using the proportion method?

• $19.95

• $21.00

• $20.00

• $18.95

How do you calculate the final cost including tax using the proportion method?

• By subtracting the tax amount from the original cost

• By adding the tax amount to the original cost

• By setting up a proportion with 106% as the percentage

• By dividing the original cost by the tax rate

What advantage does the proportion method offer over traditional methods?

• It is more complicated

• It requires more steps

• It only works for discounts, not taxes

• It simplifies the calculation into one step

What is the final cost of a $4,000 TV including a 6% sales tax using the proportion method?

• $4,000

• $4,240

• $4,200

• $4,300