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.

Find the sum of the total number of items sold by A, B and C in 2023.

The correct option is 4752.

Step 1: Understand the data given in the question and image

From the given line graph, we can see two lines representing the data for five different shops (A, B, C, D, and E) across two years: 2021 (blue line) and 2022 (orange line).

According to Note (ii), the value shown in the graph for each shop in a given year is equal to $\frac{1}{3}$rd of the total items sold by that shop in that year.

Let's read the values given in the line graph for the year 2021 (blue line):

• Shop A in 2021 = 600

• Shop B in 2021 = 420

• Shop C in 2021 = 300

Step 2: Calculate the total number of items sold by shops A, B, and C in 2021

Since the values in the line graph represent $\frac{1}{3}$rd of the total items sold:

$\text{Total items sold by Shop A in 2021}=600\times 3=1800$

$\text{Total items sold by Shop B in 2021}=420\times 3=1260$

$\text{Total items sold by Shop C in 2021}=300\times 3=900$

Sum of graph values for A, B, and C in 2021:

$600+420+300=1320$

Total items sold by A, B, and C together in 2021:

$1320\times 3=3960$

Step 3: Calculate the total number of items sold by A, B, and C in 2023

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

Therefore, the sum of items sold by A, B, and C in 2023 is 120% (or 1.2 times) of the total items sold by them in 2021:

$\text{Total items in 2023}=3960\times (1+\frac{20}{100})$

$\text{Total items in 2023}=3960\times 1.2=4752$

Thus, the sum of the total number of items sold by A, B, and C in 2023 is 4752.