A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?
Practice Questions
1 question
Q1
A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?
$100
$90
$80
$70
Let the original price be x. After a 25% discount, the selling price is 0.75x. Setting this equal to $75 gives 0.75x = $75, so x = $75 / 0.75 = $100.
Questions & Step-by-step Solutions
1 item
Q
Q: A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?
Solution: Let the original price be x. After a 25% discount, the selling price is 0.75x. Setting this equal to $75 gives 0.75x = $75, so x = $75 / 0.75 = $100.
Steps: 7
Step 1: Understand that a 25% discount means you pay 75% of the original price.
Step 2: Let the original price be represented by 'x'.
Step 3: Since you pay 75% of the original price after the discount, write this as 0.75x.
Step 4: We know the selling price after the discount is $75, so we can set up the equation: 0.75x = 75.
Step 5: To find 'x', divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 6: Calculate the right side: 75 divided by 0.75 equals 100.
