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

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

Options:

Correct Answer: $40

Solution:

Let the original price be x. After a 25% discount, the price is x - 0.25x = 0.75x. So, 0.75x = 30, thus x = 40.

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

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

Step 1: Understand that the store sells a shirt for $30 after applying a 25% discount.
Step 2: Let the original price of the shirt be represented by 'x'.
Step 3: A 25% discount means the customer pays 75% of the original price.
Step 4: Write the equation for the price after the discount: 0.75 * x = 30.
Step 5: To find the original price 'x', solve the equation: x = 30 / 0.75.
Step 6: Calculate 30 divided by 0.75, which equals 40.
Step 7: Conclude that the original price of the shirt was $40.

Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.