Understanding the Laptop Showroom Data and Profit Calculation

The question asks us to determine which HP-Showroom experienced the highest percentage increase in average profit per outlet from the year 2020 to 2021. We are provided with a table containing the number of outlets, average sales per outlet, and total profit for all outlets for six showrooms (A to F) for both years.

To find the average profit per outlet for each showroom, we need to divide the Total Profit of all Outlets by the Number of Outlets for that specific showroom and year.

The formula is:

\(\text{Average Profit per Outlet} = \frac{\text{Total Profit of all Outlets}}{\text{Number of Outlets}}\)

Calculating Average Profit per Outlet (2020 & 2021)

Let's calculate the average profit per outlet for each showroom in 2020 and 2021 using the data from the table:

Calculating Percentage Increase in Average Profit

Next, we calculate the percentage increase in average profit per outlet from 2020 to 2021 for each showroom. The formula for percentage increase is:

\(\text{Percentage Increase} = \left( \frac{\text{Average Profit in 2021} - \text{Average Profit in 2020}}{\text{Average Profit in 2020}} \right) \times 100\)

Let's apply this formula to each showroom:

• Showroom A: Average Profit in 2020 = 40, Average Profit in 2021 = 40.
  Percentage Increase = \(\left( \frac{40 - 40}{40} \right) \times 100 = \left( \frac{0}{40} \right) \times 100 = 0\%\)
• Showroom B: Average Profit in 2020 = 62.5, Average Profit in 2021 \(\approx\) 66.67.
  Percentage Increase = \(\left( \frac{66.67 - 62.5}{62.5} \right) \times 100 = \left( \frac{4.17}{62.5} \right) \times 100 \approx 6.67\%\)
• Showroom C: Average Profit in 2020 = 80, Average Profit in 2021 \(\approx\) 33.33.
  Percentage Increase = \(\left( \frac{33.33 - 80}{80} \right) \times 100 = \left( \frac{-46.67}{80} \right) \times 100 \approx -58.34\%\) (This is a decrease)
• Showroom D: Average Profit in 2020 = 48, Average Profit in 2021 = 60.
  Percentage Increase = \(\left( \frac{60 - 48}{48} \right) \times 100 = \left( \frac{12}{48} \right) \times 100 = \left( \frac{1}{4} \right) \times 100 = 25\%\)
• Showroom E: Average Profit in 2020 = 100, Average Profit in 2021 = 80.
  Percentage Increase = \(\left( \frac{80 - 100}{100} \right) \times 100 = \left( \frac{-20}{100} \right) \times 100 = -20\%\) (This is a decrease)
• Showroom F: Average Profit in 2020 = 6, Average Profit in 2021 = 6.
  Percentage Increase = \(\left( \frac{6 - 6}{6} \right) \times 100 = \left( \frac{0}{6} \right) \times 100 = 0\%\)

Comparing Percentage Increases in Average Profit

Let's summarize the percentage increase (or decrease) in average profit per outlet for each showroom:

Comparing the positive percentage increases (Showrooms B and D), Showroom D has a 25% increase, while Showroom B has approximately a 6.67% increase. Showrooms A and F had no change, and Showrooms C and E experienced decreases.

Therefore, Showroom D experienced the highest percentage increase in average profit per outlet in 2021 over that in 2020.

Revision Table: Key Data Points for HP Showrooms

Additional Information on Data Interpretation and Profit Analysis

Data interpretation questions often require careful reading of the tables or charts provided. In this case, it was crucial to distinguish between 'average sales per outlet' and 'average profit per outlet' and also between 'total profit of all outlets' and 'average profit per outlet'.

Key steps in solving such data analysis problems:

• Understand exactly what is being asked (e.g., total vs. average, percentage change vs. absolute change).
• Identify the relevant data points in the table or chart needed for the calculation.
• Perform the necessary calculations accurately (like division for average, and percentage change formula).
• Compare the results to answer the specific question asked.

Understanding profit metrics like total profit and average profit per outlet helps assess the performance efficiency of individual units (outlets) within a business.