6 Questions
What is the formula to find the percent increase of a value?
((New Value - Original Value) / Original Value) x 100
What is the percent decrease of a shirt that originally costs $50 and is now on sale for $40?
20%
A book originally costs $30 and is now on sale for $36. What is the percent increase of the book?
16.7%
What is the formula to find the new value after a percent increase?
New Value = Original Value x (1 + Percent Change/100)
A store is having a 25% off sale on a shirt that originally costs $40. How much will the shirt cost after the sale?
$32
What is the key concept to remember when working with percent changes?
Always follow the order of operations (PEMDAS)
Study Notes
Percent Increase
- A percent increase is a measure of how much a value has increased by a certain percentage.
- Formula:
((New Value - Original Value) / Original Value) x 100 - Example: If a shirt originally costs $20 and is now on sale for $24, the percent increase is
((24 - 20) / 20) x 100 = 20%
Percent Decrease
- A percent decrease is a measure of how much a value has decreased by a certain percentage.
- Formula:
((Original Value - New Value) / Original Value) x 100 - Example: If a TV originally costs $100 and is now on sale for $80, the percent decrease is
((100 - 80) / 100) x 100 = 20%
Key Concepts
- To find the new value after a percent increase or decrease, use the formula:
New Value = Original Value x (1 + Percent Change/100) - To find the original value, use the formula:
Original Value = New Value / (1 + Percent Change/100) - Be careful when working with percent changes, as the order of operations matters. Always follow the order of operations (PEMDAS) when working with percent changes.
Test your understanding of percent increase and decrease with this quiz. Learn how to calculate the percent change and apply the formulas to real-world scenarios.
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