Question

At a sale this week, a sofa is being sold for $335. This is a 33% discount from the original price. What is the original price?

Answer 1

To find the original price of the sofa, you divide the sale price ($335) by the percentage of the original price that the sale price represents, which is 67%. The calculation shows that the original price was $500.

Step-by-step explanation:

The original price of a sofa can be calculated using the discount given. The $335 price is 67% (100% - 33%) of the original price. To find the original price, we need to divide the sale price by the percentage (in decimal form) that represents what portions of the original price the sale price constitutes. Therefore, we divide $335 by 0.67 (67%) to find the original price.

Calculation Steps:

1. Convert the discount percentage to a decimal: 33% = 0.33.
2. Subtract the discount rate from 1 to get the percentage of the original price that $335 represents: 1 - 0.33 = 0.67 (or 67%).
3. Divide the sale price by this percentage to find the original price: $335 / 0.67 = $500.

So, the original price of the sofa was $500.