Calculate Percentage Increase Items Sold Q1 to Q2

The question asks us to find the percentage increase in the total number of items sold from Quarter 1 (Q1) to Quarter 2 (Q2) based on the provided table.

To answer this, we need to follow these steps:

1. Identify the number of items sold (S) for each item (A, B, C, D, E) in Q1.
2. Identify the number of items sold (S) for each item (A, B, C, D, E) in Q2.
3. Calculate the total number of items sold in Q1 by summing the 'S' values for all items in Q1.
4. Calculate the total number of items sold in Q2 by summing the 'S' values for all items in Q2.
5. Use the percentage increase formula to find the increase from Q1 total sales to Q2 total sales.

Let's extract the relevant data from the table for items sold (S) in Q1 and Q2:

Now, let's calculate the total items sold in Q1:

Total Items Sold in Q1 = Sold (A, Q1) + Sold (B, Q1) + Sold (C, Q1) + Sold (D, Q1) + Sold (E, Q1)

Total Items Sold in Q1 = 170 + 180 + 210 + 250 + 275 = 1085

Next, let's calculate the total items sold in Q2:

Total Items Sold in Q2 = Sold (A, Q2) + Sold (B, Q2) + Sold (C, Q2) + Sold (D, Q2) + Sold (E, Q2)

Total Items Sold in Q2 = 335 + 200 + 310 + 290 + 315 = 1450

Now we have the total items sold for both quarters:

• Total Items Sold in Q1 = 1085
• Total Items Sold in Q2 = 1450

The formula for percentage increase is:

$\text{Percentage Increase} = \frac{\text{(New Value - Old Value)}}{\text{Old Value}} \times 100$

In this case, the 'Old Value' is the total items sold in Q1, and the 'New Value' is the total items sold in Q2.

Percentage Increase = $\frac{\text{(Total Sold in Q2 - Total Sold in Q1)}}{\text{Total Sold in Q1}} \times 100$

Percentage Increase = $\frac{\text{(1450 - 1085)}}{\text{1085}} \times 100$

Percentage Increase = $\frac{365}{1085} \times 100$

Percentage Increase $\approx 0.3364055 \times 100$

Percentage Increase $\approx 33.64\%$

The percentage increase of items sold from Q1 to Q2 is approximately 33.64%.

Revision Table Analysis

Understanding data presented in tables is crucial. This question requires extracting specific data points (items sold) for particular quarters (Q1 and Q2) and then performing a calculation (percentage increase) based on the aggregated data. Always double-check which metric (brought or sold) and which quarters are being asked about.

Additional Information on Percentage Change Calculations

Percentage change is a way to express how much a quantity changes relative to its original value. It can be a percentage increase or decrease.

• Percentage Increase: Occurs when the new value is greater than the old value. The formula is $\frac{\text{(New - Old)}}{\text{Old}} \times 100$. The result is positive.
• Percentage Decrease: Occurs when the new value is less than the old value. The formula is $\frac{\text{(New - Old)}}{\text{Old}} \times 100$. The result will be negative, or you can use $\frac{\text{(Old - New)}}{\text{Old}} \times 100$ to get a positive result representing the decrease.
• It is important to correctly identify the 'Old Value' or the base value for the calculation, which is usually the starting point of the change.

In this problem, Q1 is the starting point, so its total sales value is the 'Old Value'. Q2 is the ending point, so its total sales value is the 'New Value'. Since Total Sales in Q2 (1450) are greater than Total Sales in Q1 (1085), we calculate a percentage increase.