A product is sold for $150 after a discount of 10%. What was the original price?

A product is sold for $150 after a discount of 10%. What was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: A discount of 10% means the selling price is 90% of the original price.
Step 3: Write the equation for the selling price: Selling Price = Original Price - Discount.
Step 4: Substitute the discount into the equation: Selling Price = x - 0.1x.
Step 5: Simplify the equation: Selling Price = 0.9x.
Step 6: We know the selling price is $150, so set up the equation: 0.9x = 150.
Step 7: To find 'x', divide both sides of the equation by 0.9: x = 150 / 0.9.
Step 8: Calculate the value: x = 166.67.
Step 9: Therefore, the original price is $166.67.

Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to set up and solve equations based on the relationship between original price, discount, and selling price.