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

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

Options:

Correct Answer: $50

Solution:

Let the marked price be x. Then, 90% of x = 45. So, x = 45 / 0.9 = $50

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

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.