A shirt is sold for $30 after a 25% discount. What was the original price?

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Question: A shirt is sold for $30 after a 25% discount. What was the original price?

Options:

Correct Answer: $40

Solution:

Let the original price be x. Then, 75% of x = 30. So, x = 30 / 0.75 = 40.

A shirt is sold for $30 after a 25% discount. What was the original price?

A shirt is sold for $30 after a 25% discount. What was the original price?

Step 1: Understand that the shirt is sold for $30 after a 25% discount.
Step 2: Recognize that if there is a 25% discount, the customer pays 75% of the original price.
Step 3: Let the original price be represented by 'x'.
Step 4: Write the equation to represent the sale price: 75% of x equals $30. This can be written as 0.75 * x = 30.
Step 5: To find the original price 'x', divide both sides of the equation by 0.75: x = 30 / 0.75.
Step 6: Calculate the division: 30 divided by 0.75 equals 40.
Step 7: Conclude that the original price of the shirt was $40.

Percentage Discount – Understanding how to calculate the original price after a discount is applied.
Algebraic Manipulation – Using algebra to isolate the variable representing the original price.