Math Problem Statement

The price of an item yesterday was $60. Today, the price fell to $33. Find the percentage decrease.

Solution

The problem in the image is:

The price of an item yesterday was $60. Today, the price fell to $33. Find the percentage decrease.

Solution:

The formula for percentage decrease is: Percentage Decrease=Original PriceNew PriceOriginal Price×100\text{Percentage Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100

  1. Original Price (yesterday): $60

  2. New Price (today): $33

  3. Difference in price:
    6033=2760 - 33 = 27

  4. Compute the percentage decrease: Percentage Decrease=2760×100=45%\text{Percentage Decrease} = \frac{27}{60} \times 100 = 45\%

Final Answer:

The percentage decrease is 45%.


Would you like a further breakdown or additional examples?

Related Questions:

  1. What is the formula for calculating percentage increase?
  2. If an item's price increases from $33 to $60, what is the percentage increase?
  3. How does percentage decrease differ from absolute decrease?
  4. Can the percentage decrease ever exceed 100%? Why or why not?
  5. How can percentage changes be visualized in charts or graphs?

Tip:

Always double-check the original and new values in problems involving percentages to avoid simple calculation errors!

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Math Problem Analysis

Mathematical Concepts

Percentage
Decrease Calculation

Formulas

Percentage Decrease = ((Original Price - New Price) / Original Price) × 100

Theorems

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Suitable Grade Level

Grades 6-8