Math Problem Statement

A company's stock decreased from $15 per share to $9 per share. What is the percentage decrease in the stock price? Round your answer to the nearest whole percent. Do not include the percent sign in your answer. For example, if your answer is 15.57%, enter 16.

Solution

To calculate the percentage decrease in the stock price, 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

Step 1: Plug in the values

The original price is 1515, and the new price is 99:

Percentage Decrease=15915×100\text{Percentage Decrease} = \frac{15 - 9}{15} \times 100

Step 2: Perform the calculations

  1. Subtract 99 from 1515: 159=615 - 9 = 6
  2. Divide 66 by 1515: 615=0.4\frac{6}{15} = 0.4
  3. Multiply 0.40.4 by 100100: 0.4×100=400.4 \times 100 = 40

Final Answer:

The percentage decrease is 40.


Would you like additional details or explanations? Here are 5 related questions:

  1. How can percentage decrease be applied to financial forecasting?
  2. What is the difference between percentage decrease and percentage change?
  3. How do you calculate the percentage increase instead of decrease?
  4. If the stock price drops further to $6, what would the new percentage decrease be?
  5. How can businesses use percentage decrease to analyze stock performance?

Tip: Always double-check calculations for accuracy, especially when rounding percentages!

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Math Problem Analysis

Mathematical Concepts

Percentage Decrease
Basic Arithmetic
Percent Calculations

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9