A laptop is sold for $800 after a discount of 20%. What was the marked price?

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Question: A laptop is sold for $800 after a discount of 20%. What was the marked price?

Options:

Correct Answer: $1000

Solution:

Let Marked Price = x. Selling Price = x - 20% of x = 0.8x. 0.8x = 800. x = 800/0.8 = 1000.

A laptop is sold for $800 after a discount of 20%. What was the marked price?

A laptop is sold for $800 after a discount of 20%. What was the marked price?

Step 1: Understand that the selling price of the laptop is $800 after a discount of 20%.
Step 2: Let the marked price be represented as 'x'.
Step 3: Calculate the selling price after the discount. The selling price is 80% of the marked price because a 20% discount means you pay 80%.
Step 4: Write the equation for the selling price: Selling Price = Marked Price - Discount = x - 0.2x = 0.8x.
Step 5: Set up the equation: 0.8x = 800.
Step 6: Solve for 'x' by dividing both sides of the equation by 0.8: x = 800 / 0.8.
Step 7: Calculate the value: x = 1000.
Step 8: Conclude that the marked price of the laptop is $1000.

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.