A calendar is sold for $45 after a 10% discount. What was the marked price?

Practice Questions

Q1
A calendar is sold for $45 after a 10% discount. What was the marked price?
  1. $50
  2. $55
  3. $60
  4. $45

Questions & Step-by-Step Solutions

A calendar is sold for $45 after a 10% discount. What was the marked price?
  • Step 1: Understand that the calendar is sold for $45 after a 10% discount.
  • Step 2: Recognize that if there is a 10% discount, the customer pays 90% of the marked price.
  • Step 3: Let the marked price be represented by 'x'.
  • Step 4: Write the equation for the price after the discount: 90% of x equals $45.
  • Step 5: Convert 90% to a decimal: 90% = 0.9.
  • Step 6: Set up the equation: 0.9 * x = 45.
  • Step 7: To find x, divide both sides of the equation by 0.9: x = 45 / 0.9.
  • Step 8: Calculate the value: x = 50.
  • Step 9: Conclude that the marked price of the calendar was $50.
  • Percentage Discount – Understanding how to calculate the final price after applying a percentage discount to the marked price.
  • Algebraic Manipulation – Using algebra to solve for the marked price based on the discounted price.
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