Understanding Sale Price Calculations

The video tutorial explains how to find the original price of an item given its sale price and the percentage discount. It uses a practical example where a desk is bought at a 71% discount for $272.60. The tutorial breaks down the problem by explaining that the sale price is 29% of the original price, sets up an equation to solve for the original price, and verifies the solution by checking the calculations.

What is the main goal of the problem discussed in the video?

• To find the sale price of an item.

• To determine the original price of an item given the sale price and discount.

• To understand how to apply a discount to an item.

• To calculate the total discount received.

If an item is sold at 71% less than its original price, what percentage of the original price does the sale price represent?

• 71%

• 29%

• 100%

• 50%

How can the sale price be expressed in terms of the original price and discount percentage?

• Sale price = Original price + Discount

• Sale price = (100% - Discount%) of Original price

• Sale price = 100% of Original price

• Sale price = Original price - Discount

What does the term '71% less than the original price' imply?

• The original price is 29% of the sale price.

• The original price is 71% of the sale price.

• The sale price is 29% of the original price.

• The sale price is 71% of the original price.

What equation is set up to find the original price if the sale price is $272.60 and represents 29% of the original price?

• $272.60 = Original price + 0.29

• $272.60 = 0.29 * Original price

• $272.60 = Original price / 0.29

• $272.60 = Original price - 0.29

What is the first step in solving the equation for the original price?

• Subtract 0.29 from both sides

• Add 0.29 to both sides

• Divide both sides by 0.29

• Multiply both sides by 0.29

What is the significance of converting the percentage to a decimal in the equation?

• It changes the original price.

• It simplifies the calculation.

• It makes the equation more complex.

• It is unnecessary for solving the problem.

What mathematical operation is used to isolate the original price in the equation?

• Multiplication

• Addition

• Division

• Subtraction

What is the original price of the desk if the sale price is $272.60 and it is 71% off?

• $800

• $272.60

• $940

• $500

How do you verify that the calculated original price is correct?

• By checking if the sale price is 71% of the original price.

• By ensuring the sale price is 29% of the original price.

• By recalculating the discount percentage.

• By comparing the sale price to the original price.