Adjust the pie chart to represent the percentage of total products sold accounted for by each product category.
Understand the Problem
The question is asking to adjust a pie chart to show the percentage of total products sold for each product category based on the given sales data.
Answer
- Product Category A: 37% - Product Category B: 20% - Product Category C: 19% - Product Category D: 24%
Answer for screen readers
The adjusted percentages for each product category are as follows:
- Product Category A: 37%
- Product Category B: 20%
- Product Category C: 19%
- Product Category D: 24%
Steps to Solve
-
Calculate Total Units Sold
First, we need to find the total number of units sold across all product categories.
The units sold are:
- Product Category A: 888
- Product Category B: 20% of total (we will calculate this later)
- Product Category C: 456
- Product Category D: 576
Let ( T ) be the total units sold.
We know that:
[ T = 888 + 0.2T + 456 + 576 ]
-
Formulate the Equation Rearranging the equation to isolate ( T ):
[ T - 0.2T = 888 + 456 + 576 ]
This simplifies to:
[ 0.8T = 1920 ] -
Calculate the Total Now, by dividing both sides by ( 0.8 ):
[ T = \frac{1920}{0.8} = 2400 ] -
Calculate Units for Product Category B To find how many units belong to Product Category B, we take 20% of the total units sold:
[ \text{Units in B} = 0.2 \times 2400 = 480 ] -
Calculate Percentages for Each Product Category Now we determine the percentage of total units sold for each category:
-
Product A:
[ \text{Percentage A} = \left(\frac{888}{2400}\right) \times 100 = 37% ] -
Product B:
[ \text{Percentage B} = \left(\frac{480}{2400}\right) \times 100 = 20% ] -
Product C:
[ \text{Percentage C} = \left(\frac{456}{2400}\right) \times 100 \approx 19% ] -
Product D:
[ \text{Percentage D} = \left(\frac{576}{2400}\right) \times 100 \approx 24% ]
- Adjust the Pie Chart Finally, adjust the pie chart to reflect the calculated percentages:
- Product Category A: 37%
- Product Category B: 20%
- Product Category C: 19%
- Product Category D: 24%
The adjusted percentages for each product category are as follows:
- Product Category A: 37%
- Product Category B: 20%
- Product Category C: 19%
- Product Category D: 24%
More Information
This adjustment is crucial for visualizing how each product category contributes to total sales. Representing this data as a pie chart allows stakeholders to quickly gauge relative performance and identify strengths and weaknesses in product categories.
Tips
- Failing to correctly calculate the total units sold by not isolating ( T ) properly.
- Miscalculating the percentage for each product category. It's essential to divide each category's sales by the calculated total and then multiply by 100.
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