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?

Options:

Correct Answer: $1000

Solution:

Let the original price be x. Selling Price = x - 0.20x = 0.80x. So, 0.80x = 800. Therefore, x = 800 / 0.80 = 1000.

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

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

Step 1: Let the original price of the laptop be represented by 'x'.
Step 2: The store applies a discount of 20% on the original price. This means the selling price is 80% of the original price.
Step 3: We can write this as an equation: Selling Price = Original Price - Discount. In terms of 'x', this is: Selling Price = x - 0.20x.
Step 4: Simplifying the equation: Selling Price = 0.80x.
Step 5: We know the selling price is $800, so we can set up the equation: 0.80x = 800.
Step 6: To find 'x', divide both sides of the equation by 0.80: x = 800 / 0.80.
Step 7: Calculate the right side: x = 1000.
Step 8: Therefore, the original price of the laptop was $1000.

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