A shopkeeper sells a shirt for $30 after giving a discount of 25%. What was the

A shopkeeper sells a shirt for $30 after giving a discount of 25%. What was the original price of the shirt?

A shopkeeper sells a shirt for $30 after giving a discount of 25%. What was the original price of the shirt?

Step 1: Let the original price of the shirt be represented by 'x'.
Step 2: The shopkeeper gives a discount of 25%. This means the customer pays 75% of the original price.
Step 3: We can express the selling price after the discount as 0.75 times the original price: 0.75x.
Step 4: We know the selling price is $30, so we can set up the equation: 0.75x = 30.
Step 5: To find 'x', we need to solve the equation. First, divide both sides by 0.75: x = 30 / 0.75.
Step 6: Calculate 30 divided by 0.75, which equals $40.
Step 7: Therefore, the original price of the shirt is $40.

Percentage Discount Calculation – Understanding how to calculate the original price of an item after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to set up and solve equations based on given conditions.