A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the

A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?

A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?

Step 1: Understand that the shopkeeper sells the shirt for $30 after giving a discount.
Step 2: Know that a 20% discount means the customer pays 80% of the original price.
Step 3: Let the original price of the shirt be represented by 'x'.
Step 4: Write the equation for the selling price after the discount: 0.8 * x = 30.
Step 5: To find 'x', divide both sides of the equation by 0.8: x = 30 / 0.8.
Step 6: Calculate the value: 30 divided by 0.8 equals 37.5.
Step 7: Conclude that the original price of the shirt is $37.50.

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