If a product is sold for $150 after a discount of 25%, what was the marked price

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Question: If a product is sold for $150 after a discount of 25%, what was the marked price?

Options:

Correct Answer: $200

Solution:

Let the marked price be x. Then, selling price = x - 25% of x = 0.75x. Given selling price = $150, we have 0.75x = 150, x = 150 / 0.75 = $200.

If a product is sold for $150 after a discount of 25%, what was the marked price?

If a product is sold for $150 after a discount of 25%, what was the marked price?

Step 1: Understand that the marked price is the original price before any discount.
Step 2: Let the marked price be represented by the variable 'x'.
Step 3: Know that a 25% discount means the selling price is 75% of the marked price.
Step 4: Write the equation for the selling price: Selling Price = Marked 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: We know the selling price is $150, so set up the equation: 0.75x = 150.
Step 8: To find 'x', divide both sides of the equation by 0.75: x = 150 / 0.75.
Step 9: Calculate the value: x = 200.
Step 10: Conclude that the marked price is $200.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
Algebraic Manipulation – Using algebra to solve for the marked price by setting up an equation based on the relationship between marked price, discount, and selling price.