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Questions and Answers
What is the formula to find the percent increase of a value?
What is the formula to find the percent increase of a value?
What is the percent decrease of a shirt that originally costs $50 and is now on sale for $40?
What is the percent decrease of a shirt that originally costs $50 and is now on sale for $40?
A book originally costs $30 and is now on sale for $36. What is the percent increase of the book?
A book originally costs $30 and is now on sale for $36. What is the percent increase of the book?
What is the formula to find the new value after a percent increase?
What is the formula to find the new value after a percent increase?
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A store is having a 25% off sale on a shirt that originally costs $40. How much will the shirt cost after the sale?
A store is having a 25% off sale on a shirt that originally costs $40. How much will the shirt cost after the sale?
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What is the key concept to remember when working with percent changes?
What is the key concept to remember when working with percent changes?
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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.
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Description
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.
