A store sells a laptop for $800 after applying a discount of 20%. What was the o

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Question: A store sells a laptop for $800 after applying a discount of 20%. What was the original price of the laptop?

Options:

Correct Answer: $1000

Solution:

Let the original price be x. Selling Price = x - 20% of x = 0.8x. Thus, 0.8x = 800, so x = 1000.

A store sells a laptop for $800 after applying a discount of 20%. What was the original price of the laptop?

A store sells a laptop for $800 after applying a discount of 20%. What was the original price of the laptop?

Step 1: Understand that the store sells the laptop for $800 after a discount.
Step 2: Know that the discount is 20% of the original price.
Step 3: Let the original price be represented by 'x'.
Step 4: Calculate the selling price after the discount: Selling Price = Original Price - Discount.
Step 5: The discount can be expressed as 20% of 'x', which is 0.2x.
Step 6: Therefore, the selling price can be written as: Selling Price = x - 0.2x.
Step 7: Simplify the equation: Selling Price = 0.8x.
Step 8: Set the selling price equal to $800: 0.8x = 800.
Step 9: To find 'x', divide both sides of the equation by 0.8: x = 800 / 0.8.
Step 10: Calculate the result: x = 1000.
Step 11: Conclude that the original price of the laptop was $1000.

Percentage Discount – Understanding how to calculate the original price after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.