A laptop is sold for $800, which is 25% more than its cost price. What is the co

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Question: A laptop is sold for $800, which is 25% more than its cost price. What is the cost price?

Options:

Correct Answer: $600

Solution:

Let Cost Price = x. Selling Price = x + 25% of x = 1.25x. 1.25x = 800. x = 800/1.25 = 640.

A laptop is sold for $800, which is 25% more than its cost price. What is the cost price?

A laptop is sold for $800, which is 25% more than its cost price. What is the cost price?

Step 1: Let the cost price of the laptop be represented as 'x'.
Step 2: The selling price of the laptop is given as $800.
Step 3: The selling price is 25% more than the cost price. This means Selling Price = Cost Price + 25% of Cost Price.
Step 4: We can write this as Selling Price = x + 0.25x, which simplifies to Selling Price = 1.25x.
Step 5: We know the Selling Price is $800, so we can set up the equation: 1.25x = 800.
Step 6: To find 'x', divide both sides of the equation by 1.25: x = 800 / 1.25.
Step 7: Calculate 800 divided by 1.25, which equals 640.
Step 8: Therefore, the cost price of the laptop is $640.

Percentage Increase – Understanding how to calculate a selling price based on a percentage increase from the cost price.
Algebraic Manipulation – Using algebra to solve for the unknown variable (cost price) in an equation.