The line graph shows $\frac{1}{3}$rd of the total items sold by five different shops in two different years.

Note: (i). Total number of items sold by each shops in 2023 is 20% more than that in 2021.
(ii). The total number of items sold by each shops in each year, which is given in the line graph, is one-third of the total items sold.

Total number of items sold by D in 2023 is what percentage less than the total number of items sold by A in 2022 (approx.)?

The correct answer is 11%.

Step-by-step Explanation:

1. Understand the given data from the line graph:

The values provided in the line graph represent $\frac{1}{3}$rd of the total number of items sold by each shop in the respective year.

From the graph, we can observe the following values for Shops A and D:

• For Shop A in 2022 (orange line): The graph value is 700.

• For Shop D in 2021 (blue line): The graph value is 520.

2. Calculate total items sold by Shop A in 2022:

Since the graph shows one-third of the total sales:

$\text{Total items sold by A in 2022}=3\times 700=2100$

3. Calculate total items sold by Shop D in 2021 and 2023:

First, calculate total items sold by Shop D in 2021:

$\text{Total items sold by D in 2021}=3\times 520=1560$

According to Note (i), the total items sold by each shop in 2023 is 20% more than in 2021.

$\text{Total items sold by D in 2023}=1560+(20\%\text{ of }1560)$

$\text{Total items sold by D in 2023}=1560+312=1872$

4. Calculate the required percentage difference:

We need to find how much percentage less the sales of D in 2023 are compared to the sales of A in 2022.

$\text{Difference}=2100-1872=228$

$\text{Percentage Less}=\left(\frac{228}{2100}\right)\times 100\%$

$\text{Percentage Less}=\frac{228}{21}\%\approx 10.857\%\approx 11\%$

Thus, the total number of items sold by D in 2023 is approximately 11% less than the total number of items sold by A in 2022.