Math Problem Statement

The price of an item has dropped to $50 today. Yesterday it was $125. Find the percentage decrease.

Solution

To solve this problem of finding the percentage decrease, we use the formula for percentage change:

Percentage Decrease=Original ValueNew ValueOriginal Value×100\text{Percentage Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100

Given:

  • Original value (yesterday's price) = 125
  • New value (today's price) = 50

Step-by-Step Solution:

  1. Find the difference between the original value and the new value: 12550=75125 - 50 = 75

  2. Divide the difference by the original value: 75125=0.6\frac{75}{125} = 0.6

  3. Multiply by 100 to convert to a percentage: 0.6×100=60%0.6 \times 100 = 60\%

Final Answer:

The percentage decrease is 60%.

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Related Questions:

  1. How do you calculate percentage increase instead of decrease?
  2. If the price drops to $25, what would the percentage decrease be?
  3. What is the formula for percentage change, and when is it used?
  4. How do you interpret percentage changes in real-life scenarios?
  5. If the price increases from $50 to $125, what would the percentage increase be?

Tip:

To check if a percentage change is correct, you can reverse the calculation using the percentage value and the original number to verify.

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Math Problem Analysis

Mathematical Concepts

Percentages
Percentage Change
Basic Arithmetic

Formulas

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

Theorems

Percentage Change Formula

Suitable Grade Level

Grades 6-8