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 B and D together in 2023 is how many more or less than the total number of items sold by A in all three years together.

The correct answer is 2676.

Step 1: Understand the given data and conditions from the line graph

The line graph displays values corresponding to $\frac{1}{3}$rd of the total items sold by five shops (A, B, C, D, E) in the years 2021 and 2022.

From the image, we can extract the graph values (which represent 1/3rd of total items sold):

• Shop A:
- 2021 (Blue): 600
- 2022 (Orange): 700

• Shop B:
- 2021 (Blue): 420
- 2022 (Orange): 540

• Shop D:
- 2021 (Blue): 520
- 2022 (Orange): 200

Step 2: Calculate the actual total items sold in 2021 and 2022

Since the graph values are one-third of the total items sold, the actual total items sold in any given year = (Graph value) × 3.

• For Shop A:
- Total items sold in 2021 = $600\times 3=1800$
- Total items sold in 2022 = $700\times 3=2100$

• For Shop B:
- Total items sold in 2021 = $420\times 3=1260$

• For Shop D:
- Total items sold in 2021 = $520\times 3=1560$

Step 3: Calculate the total items sold in 2023

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

• Total items sold by Shop A in 2023:

$1800\times 1.20=2160$

• Total items sold by Shop B in 2023:

$1260\times 1.20=1512$

• Total items sold by Shop D in 2023:

$1560\times 1.20=1872$

Step 4: Calculate the required totals

1. Total number of items sold by B and D together in 2023:

$1512+1872=3384$

2. Total number of items sold by A in all three years (2021, 2022, 2023) together:

$1800+2100+2160=6060$

Step 5: Find the required difference

We need to find how many items less B and D together in 2023 sold compared to A in all three years together:

$6060-3384=2676$

Thus, the total number of items sold by B and D together in 2023 is 2676 less than the total number of items sold by A in all three years together.