A discount of 25% on a product brings its price down to $75. What was the origin

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Question: A discount of 25% on a product brings its price down to $75. What was the original price?

Options:

Correct Answer: $100

Solution:

Let the original price be x. After a 25% discount, Selling Price = x - 0.25x = 0.75x. 0.75x = 75, x = 75/0.75 = 100.

A discount of 25% on a product brings its price down to $75. What was the original price?

A discount of 25% on a product brings its price down to $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: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 4: Since the discount is 25%, the equation becomes: Selling Price = x - 0.25x.
Step 5: Simplify the equation: Selling Price = 0.75x.
Step 6: We know the Selling Price is $75, so set up the equation: 0.75x = 75.
Step 7: To find 'x', divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 8: Calculate the value: x = 100.
Step 9: Therefore, the original price of the product was $100.

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