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?
  1. $35
  2. $40
  3. $45
  4. $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
  • 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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