A shopkeeper sells an item for $80 after giving a discount of 20%. What was the

₹0.0

Question: A shopkeeper sells an item for $80 after giving a discount of 20%. What was the original price?

Options:

Correct Answer: $100

Solution:

Let the original price be x. After 20% discount, selling price = x - 0.2x = 0.8x. 0.8x = 80, x = 100.

A shopkeeper sells an item for $80 after giving a discount of 20%. What was the original price?

A shopkeeper sells an item for $80 after giving a discount of 20%. What was the original price?

Step 1: Understand that the shopkeeper sells an item for $80 after giving a discount of 20%.
Step 2: Let the original price of the item be represented by 'x'.
Step 3: Calculate the amount of discount. A 20% discount means the shopkeeper sells the item for 80% of the original price.
Step 4: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 5: Substitute the discount into the equation: Selling Price = x - 0.2x.
Step 6: Simplify the equation: Selling Price = 0.8x.
Step 7: Set the selling price equal to $80: 0.8x = 80.
Step 8: Solve for 'x' by dividing both sides of the equation by 0.8: x = 80 / 0.8.
Step 9: Calculate the value: x = 100.
Step 10: Conclude that the original price of the item was $100.

Percentage Discount – 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 discount and selling price.