Math Problem Statement

The price of a computer was reduced from $400 to $300. By what percentage was the price of the computer reduced?

Solution

The question in the image asks:

"The price of a computer was reduced from $400 to $300. By what percentage was the price of the computer reduced?"

To solve this, we can use the formula for percentage decrease:

Percentage decrease=(Original PriceNew PriceOriginal Price)×100\text{Percentage decrease} = \left( \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \right) \times 100

Applying the values:

Original Price=400,New Price=300\text{Original Price} = 400, \quad \text{New Price} = 300 Percentage decrease=(400300400)×100=(100400)×100=0.25×100=25%\text{Percentage decrease} = \left( \frac{400 - 300}{400} \right) \times 100 = \left( \frac{100}{400} \right) \times 100 = 0.25 \times 100 = 25\%

Thus, the price of the computer was reduced by 25%.

Would you like any further details or have any other questions?

Here are some related questions to think about:

  1. How can percentage increases be calculated using the same formula?
  2. What would the new price be if the reduction was 33 1/3%?
  3. If the price was reduced by 50%, what would the new price be?
  4. Can the percentage reduction ever exceed 100%?
  5. What are some real-life scenarios where understanding percentage decrease is important?

Tip: Always subtract the new price from the original price before dividing, to correctly calculate percentage decrease.

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Math Problem Analysis

Mathematical Concepts

Percentage
Percentage Decrease
Basic Arithmetic

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8