A calendar is sold for $30 after a discount of 10%. What was the original price?
Practice Questions
Q1
A calendar is sold for $30 after a discount of 10%. What was the original price?
$27
$33
$30
$25
Questions & Step-by-Step Solutions
A calendar is sold for $30 after a discount of 10%. What was the original price?
Step 1: Understand that the calendar is sold for $30 after a 10% discount.
Step 2: Recognize that if there is a 10% discount, the customer pays 90% of the original price.
Step 3: Let the original price be represented by 'x'.
Step 4: Write the equation to represent the sale price: 90% of x equals $30. This can be written as 0.9 * x = 30.
Step 5: To find the original price 'x', divide both sides of the equation by 0.9: x = 30 / 0.9.
Step 6: Calculate the value: 30 divided by 0.9 equals approximately $33.33.
Step 7: Conclude that the original price of the calendar was $33.33.
Percentage Calculation – Understanding how to calculate the original price after a discount is applied.
Algebraic Manipulation – Setting up an equation to solve for the original price using the relationship between the discounted price and the original price.
