If the price of a book is increased by 10% and the new price is $22, what was the original price?
Practice Questions
1 question
Q1
If the price of a book is increased by 10% and the new price is $22, what was the original price?
$20
$18
$19
$21
Let the original price be x. The new price after a 10% increase is x + 0.1x = 1.1x. Setting this equal to $22 gives us 1.1x = 22, so x = 22/1.1 = 20. Therefore, the original price was $20.
Questions & Step-by-step Solutions
1 item
Q
Q: If the price of a book is increased by 10% and the new price is $22, what was the original price?
Solution: Let the original price be x. The new price after a 10% increase is x + 0.1x = 1.1x. Setting this equal to $22 gives us 1.1x = 22, so x = 22/1.1 = 20. Therefore, the original price was $20.
Steps: 7
Step 1: Let the original price of the book be represented as 'x'.
Step 2: When the price is increased by 10%, the new price becomes 'x + 0.1x'.
Step 3: Simplify 'x + 0.1x' to '1.1x'.
Step 4: We know the new price is $22, so we set up the equation: '1.1x = 22'.
Step 5: To find 'x', divide both sides of the equation by 1.1: 'x = 22 / 1.1'.
Step 6: Calculate '22 / 1.1' to find the original price.
Step 7: The result is $20, so the original price of the book was $20.
