Ewa's Stationery Sale: Calculating Profit Percentage

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Hey guys! Let's dive into a fun math problem! Ewa decided to buy some stationery, and then she sold it to her friend. Our mission? To figure out the overall profit percentage she made. Sounds good? Awesome! We'll break it down step by step, so you can follow along easily. This is a classic math problem that involves calculating costs, profits, and percentages. It's a real-world scenario, which means it's super practical! Get ready to sharpen those math skills – it's going to be a blast!

Understanding the Purchase: What Did Ewa Buy?

First things first, let's understand what Ewa actually purchased. She went on a stationery shopping spree, buying a bunch of stuff. Specifically, she bought 10 notebooks, each costing 6 zł (zł is the Polish currency, Zloty), and 15 drawing pads, each priced at 8 zł. Let's break down the costs to make it crystal clear, okay?

  • Notebooks: 10 notebooks * 6 zł/notebook = 60 zł
  • Drawing Pads: 15 drawing pads * 8 zł/drawing pad = 120 zł

So, Ewa spent a total of 60 zł on notebooks and 120 zł on drawing pads. To find out the total amount she spent, we just add those two figures together: 60 zł + 120 zł = 180 zł. That's the initial investment she made. Remember this number – it's the foundation of our profit calculation. This initial investment is crucial; it's the amount against which we'll measure her gains. Now, let's keep going and figure out how much she sold it for.

The Cost Breakdown and Initial Investment

  • Detailed Breakdown: Carefully considering how the costs are broken down helps us understand the problem. Each item has its own cost, and we need to consider them separately, before combining them together. This step is about attention to detail.
  • Initial Investment Significance: Understanding the initial investment is essential. It tells us how much money was put into the purchase. The initial investment gives us a basis for calculating the profit, or the loss, that was made. It serves as the baseline, as we analyze the financial aspect of the problem.

Now, let's move on to the fun part: figuring out how much Ewa made when she sold everything!

Selling with a Profit: Notebooks and Drawing Pads

Alright, so Ewa didn't just sell everything at the same price she bought it for. Nope! She sold everything with a profit. She's a smart cookie, right? She sold the notebooks with a 20% profit and the drawing pads with a 30% profit. We need to calculate how much she sold each item for to calculate the total selling price. Let’s take a look. We'll start with the notebooks. She sold these with a 20% profit, so we'll need to figure out how much that 20% is in zł.

  • Notebooks Profit: 20% of 60 zł = (20/100) * 60 zł = 12 zł. This is the profit from the notebooks only.
  • Notebooks Selling Price: The selling price of the notebooks is their original cost plus the profit. 60 zł (cost) + 12 zł (profit) = 72 zł.

So, Ewa sold the notebooks for 72 zł. Now let's calculate the profit from the drawing pads. The drawing pads were sold with a 30% profit.

  • Drawing Pads Profit: 30% of 120 zł = (30/100) * 120 zł = 36 zł. This is the profit from the drawing pads.
  • Drawing Pads Selling Price: The selling price of the drawing pads is their original cost plus the profit. 120 zł (cost) + 36 zł (profit) = 156 zł.

Therefore, Ewa sold the drawing pads for 156 zł. She made a profit on both items, which is awesome! Now, we have to find out what the total selling price was. So, we add the total amount from selling notebooks and drawing pads.

Notebooks and Drawing Pads: The Profit Calculation

  • Notebooks Profit: The 20% profit on notebooks is calculated to determine the amount added to the cost price.
  • Drawing Pads Profit: The 30% profit on drawing pads is calculated to determine the amount added to the cost price.
  • Selling Price: Calculate the selling price by adding the profit to the initial cost to see how much Ewa made when selling the items.

With these numbers in hand, we can easily calculate her overall profit percentage. Ready for it? Let's proceed to the grand finale – calculating the overall profit percentage!

Calculating the Overall Profit Percentage

Okay, guys, here comes the grand finale! We're going to calculate the overall profit percentage. First, we need to know the total amount Ewa made from selling everything. We know that the total selling price of notebooks was 72 zł and the total selling price of drawing pads was 156 zł. So, we add these two sums: 72 zł + 156 zł = 228 zł. This is the total amount Ewa received from selling all the stationery. Remember that she initially spent 180 zł. To find out the total profit, we subtract her initial investment from the total selling price: 228 zł (selling price) - 180 zł (initial investment) = 48 zł. So, Ewa made a profit of 48 zł on the entire sale.

Now, to calculate the profit percentage, we use the following formula:

Profit Percentage = (Total Profit / Initial Investment) * 100

So, in Ewa's case:

Profit Percentage = (48 zł / 180 zł) * 100 = 26.67%

This means Ewa made a profit of 26.67% on the entire sale. Pretty impressive, right? That's how you calculate the profit percentage. In conclusion, Ewa is one smart cookie when it comes to selling stationery! She bought some notebooks and drawing pads, sold them with a profit, and managed to earn a solid 26.67% profit overall. She used her knowledge of percentages to maximize her gains. Great job, Ewa!

The Final Percentage Calculation

  • Overall Profit: This is the difference between the amount she sold the items for and the initial cost. It is a very important step. Without the profit, we cannot calculate the percentage.
  • Formula Application: By using the correct formula, we can convert profit into a percentage.
  • Conclusion: Determining the overall profit percentage gives a clear picture of how successful the sale was. This step also involves applying the formula to calculate the overall profit percentage, which helps you understand the return on investment.

I hope you enjoyed this tutorial and that you learned something new today. Keep practicing those math skills, and you'll be a pro in no time! Remember, understanding percentages and profit calculations is super useful in real life. Keep practicing, and you'll be a math whiz in no time. Thanks for hanging out, and happy calculating!