A shopkeeper sells a laptop for $800 after giving a discount of 20%. What was th

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

Options:

Correct Answer: $1000

Solution:

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

A shopkeeper sells a laptop for $800 after giving a discount of 20%. What was the marked price?

A shopkeeper sells a laptop for $800 after giving a discount of 20%. What was the marked price?

Step 1: Understand that the selling price of the laptop is $800 after a discount.
Step 2: Know that the discount given is 20% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the discount amount: 20% of x is 0.20x.
Step 5: The selling price can be calculated as: Selling Price = Marked Price - Discount.
Step 6: Substitute the values: Selling Price = x - 0.20x.
Step 7: Simplify the equation: Selling Price = 0.80x.
Step 8: Set up the equation: 0.80x = 800.
Step 9: To find x, divide both sides by 0.80: x = 800 / 0.80.
Step 10: Calculate the value: x = 1000.
Step 11: 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 based on the relationship between selling price, marked price, and discount.