Math Problem Statement

The price of an item yesterday was $80. Today, the price fell to $68. Find the percentage decrease.

Solution

To determine the percentage decrease, we use the formula:

Percentage Decrease=Original PriceNew PriceOriginal Price×100\text{Percentage Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100

Given:

  • Original Price = 8080
  • New Price = 6868

Steps:

  1. Subtract the new price from the original price: 8068=1280 - 68 = 12
  2. Divide the decrease by the original price: 1280=0.15\frac{12}{80} = 0.15
  3. Multiply by 100 to get the percentage: 0.15×100=15%0.15 \times 100 = 15\%

Final Answer:

The percentage decrease is 15%.

Let me know if you’d like a further breakdown or clarification!


Related Questions:

  1. How do you calculate percentage increase if the price rose from $68 to $80?
  2. What happens if the price fell to $40 instead? What would the percentage decrease be?
  3. If an item’s price decreases by 25%, what is the new price if it originally cost $100?
  4. How can we reverse the percentage decrease to find the original price if only the final price and percentage decrease are given?
  5. What is the difference between absolute change and percentage change?

Tip: Always double-check your calculations by substituting the final result back into the formula.

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Math Problem Analysis

Mathematical Concepts

Percentage Decrease
Basic Arithmetic
Ratios and Proportions

Formulas

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

Theorems

Basic Percentage Change Calculation

Suitable Grade Level

Grades 6-8