If a shopkeeper sells an item for $120 after applying a discount of 20%, what wa

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Question: If a shopkeeper sells an item for $120 after applying a discount of 20%, what was the original price?

Options:

Correct Answer: $140

Solution:

Let the original price be x. Selling Price = x - 20% of x = 120. Thus, 0.8x = 120, so x = 150.

If a shopkeeper sells an item for $120 after applying a discount of 20%, what was the original price?

If a shopkeeper sells an item for $120 after applying a discount of 20%, what was the original price?

Step 1: Understand that the shopkeeper sells an item for $120 after giving a discount of 20%.
Step 2: Let the original price of the item be represented by 'x'.
Step 3: Calculate the selling price after the discount. The selling price is the original price minus the discount.
Step 4: The discount is 20% of the original price, which can be written as 0.2x.
Step 5: Therefore, the selling price can be expressed as: Selling Price = Original Price - Discount, or 120 = x - 0.2x.
Step 6: Simplify the equation: 120 = 0.8x (because x - 0.2x = 0.8x).
Step 7: To find the original price 'x', divide both sides of the equation by 0.8: x = 120 / 0.8.
Step 8: Calculate the value: x = 150.
Step 9: Conclude that the original price of the item was $150.

Percentage Discount Calculation – Understanding how to calculate the selling price after applying a percentage discount to the original price.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the selling price and discount.