A store sells a laptop for $800 after a 20% discount. What was the original pric

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

Options:

Correct Answer: 1000

Solution:

Let original price be x. 80% of x = $800. So, x = 800 / 0.8 = $1000.

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

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

Step 1: Understand that the store sells the laptop for $800 after applying a 20% discount.
Step 2: Recognize that if the laptop is sold for $800 after a 20% discount, it means the customer pays 80% of the original price.
Step 3: Let the original price be represented by 'x'.
Step 4: Write the equation to represent the situation: 80% of x equals $800. This can be written as 0.8 * x = 800.
Step 5: To find the original price 'x', divide both sides of the equation by 0.8: x = 800 / 0.8.
Step 6: Calculate the division: 800 divided by 0.8 equals 1000.
Step 7: Conclude that 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 a percentage context.