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A shirt is sold for $30 after a discount of 25%. What was the original price of
Practice Questions
Q1
A shirt is sold for $30 after a discount of 25%. What was the original price of the shirt?
$35
$40
$45
$50
Questions & Step-by-Step Solutions
A shirt is sold for $30 after a discount of 25%. What was the original price of the shirt?
Correct Answer: 40
Steps
Concepts
Step 1: Understand that the shirt is sold for $30 after a discount of 25%.
Step 2: Recognize that if the shirt is sold for $30 after a 25% discount, it means the customer pays 75% of the original price.
Step 3: Let the original price of the shirt be represented by 'x'.
Step 4: Write the equation to represent the sale price: 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 Calculation
– Understanding how to calculate the original price of an item 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 discounted price.
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