A product is sold for $300 after a discount of 25%. What was the original price?

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Question: A product is sold for $300 after a discount of 25%. What was the original price?

Options:

Correct Answer: $400

Solution:

Let the original price be x. Selling Price = Original Price - Discount = x - 0.25x = 0.75x. So, 0.75x = 300. Therefore, x = 300/0.75 = $400.

A product is sold for $300 after a discount of 25%. What was the original price?

A product is sold for $300 after a discount of 25%. What was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: The product is sold for $300 after a discount of 25%.
Step 3: A 25% discount means the selling price is 75% of the original price.
Step 4: Write the equation for the selling price: Selling Price = Original Price - Discount.
Step 5: Substitute the discount into the equation: Selling Price = x - 0.25x.
Step 6: Simplify the equation: Selling Price = 0.75x.
Step 7: Set the selling price equal to $300: 0.75x = 300.
Step 8: To find 'x', divide both sides of the equation by 0.75: x = 300 / 0.75.
Step 9: Calculate the value: x = 400.
Step 10: The original price of the product is $400.

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 solve for the original price by setting up an equation based on the relationship between selling price, original price, and discount.