A store offers a discount of 25% on a product. If the selling price is $75, what

A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?

A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?

Step 1: Understand that a 25% discount means you pay 75% of the original price.
Step 2: Let the original price be represented by 'x'.
Step 3: Since you pay 75% of the original price after the discount, write this as 0.75x.
Step 4: We know the selling price after the discount is $75, so we can set up the equation: 0.75x = 75.
Step 5: To find 'x', divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 6: Calculate the right side: 75 divided by 0.75 equals 100.
Step 7: Therefore, the original price is $100.

Percentage Discount Calculation – Understanding how to calculate the original price from a selling price after applying a percentage discount.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the discount.