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 ratio of the total number of items sold by B in 2022 to the total number of items sold by C in 2023.

Given:

• The values shown in the line graph represent one-third of the total items sold.
• Total items sold in 2023 are 20% more than those in 2021.

Step 1: Find the total items sold by Shop B in 2022

From the graph, one-third of the items sold by Shop B in 2022 = 550.

Total items sold by Shop B in 2022 = 550 × 3 = 1650.

Step 2: Find the total items sold by Shop C in 2023

From the graph, one-third of the items sold by Shop C in 2021 = 300.

Total items sold by Shop C in 2021 = 300 × 3 = 900.

Total items sold by Shop C in 2023 = 900 × 120% = 1080.

Step 3: Find the required ratio

Required Ratio = 1650 : 1080

= 55 : 36

Answer: 55 : 36