Understanding Percentage Change for Business Success

What is the percentage change in price if Little Feet raises the price of shoes from $18 to $25?

• A. 39%
• B. 35%
• C. 30%
• D. 45%

Answer: (A)

To determine the percentage change in price when Little Feet raises the price of shoes from $18 to $25, you can use the formula for percentage change, which is calculated as: \[ \text{Percentage Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100 \] First, calculate the change in price: \[ \text{New Price} - \text{Old Price} = 25 - 18 = 7 \] Next, divide the change in price by the old price: \[ \frac{7}{18} \approx 0.3889 \] Now, convert this into a percentage by multiplying by 100: \[ 0.3889 \times 100 \approx 38.89\% \] When rounded, this value is approximately 39%. This shows that the price increased by 39% when the price of shoes was raised from $18 to $25. Understanding how to apply the formula for percentage change can be crucial in various marketing and business scenarios where price adjustments affect consumer behavior and financial performance.

Calculating percentage change may sound like dry math, but it’s a concept every aspiring business leader needs to nail down. Whether you’re looking at the price of shoes, like Little Feet did when they upped the cost from $18 to $25, or analyzing bigger financial shifts in your dream startup, it’s crucial to grasp how these numbers affect everything from profitability to consumer choices.

So, let’s break it down. Instead of just rattling off formulas, let’s approach this as if we’re having a chat over a cup of coffee. You remember back in school when you heard about percentage increases? Yeah, it's much more fun during casual banter, isn’t it?

Now, if Little Feet raises the price, we start with the basics. It’s all about the formula:

[

\text{Percentage Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100

]

Keep your coffee warm, because we’re diving into it!

First, we need to figure out the change in price. Seeing how it jumped from $18 to $25, the math here is pretty straightforward:

[

\text{New Price} - \text{Old Price} = 25 - 18 = 7

]

So, Little Feet made a $7 increase. Now, here's where it gets interesting: to find out what that increase looks like percentage-wise, we take that change and divide it by the old price.

That’s where our formula really shines.

[

\frac{7}{18} \approx 0.3889

]

With a little multiplying magic, we turn that into a percentage:

[

0.3889 \times 100 \approx 38.89%

]

You heard that right—rounded, that’s 39%! So when Little Feet put those snazzy shoes at a new price, they weren't just playing around; they literally increased their price by 39%.

But why does this matter? Well, in the world of marketing—where numbers and strategies dance together—knowing how to calculate percentage change can lead to valuable insights. This is where understanding consumer behavior comes into play. If customers see the price increase and still buy, something in your marketing strategy is working, don’t you think?

And here’s a nugget for you: price adjustments don’t just appear out of thin air. They’re part of an elaborate dance of budgeting, marketing tactics, and overall brand strategy. It’s part art, part science!

For students preparing for the Future Business Leaders of America (FBLA) test, mastering these concepts isn’t just about getting the numbers right; it’s about understanding their implications. Imagine sitting in front of potential investors and being able to confidently discuss how you determined your pricing strategies, or how a slight increase could impact consumer behavior and financial performance. That’s not just knowledge—it’s power.

So the next time you hear about price changes or marketing strategies, remember Little Feet’s shoes and how understanding percentage change can set you apart as a savvy future business leader.