Math Problem Statement
The price of an item has dropped to $81 today. Yesterday it was $180. Find the percentage decrease.
Solution
To find the percentage decrease, you can use the following formula:
In this case:
- Old Price (Yesterday) = $180
- New Price (Today) = $81
Let's plug these values into the formula:
So, the percentage decrease is 55%.
Would you like more details or have any questions about the calculation?
Here are some related questions for further exploration:
- How would you calculate a percentage increase if the price had risen?
- What is the formula for percentage change in general (whether increase or decrease)?
- If the price dropped to $100 instead, what would the percentage decrease be?
- Can you explain how to find the original price if you know the final price and the percentage decrease?
- How would you apply this formula in other real-world situations like discounts or interest rates?
Tip: When calculating percentage changes, always compare the difference relative to the original value.
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Math Problem Analysis
Mathematical Concepts
Percentage Decrease
Basic Arithmetic
Formulas
Percentage Decrease = ((Old Price - New Price) / Old Price) * 100
Theorems
-
Suitable Grade Level
Grades 6-8