Question Details

The line graph shows 13rd 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.)?

Options

A

23%

B

19%

C

11%

D

15%

E

8%

Show Answer

Correct Answer :

Option C

11%

11%

Solution :

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 D in 2021

From the graph, one-third of the items sold by Shop D in 2021 = 520.

Total items sold by Shop D in 2021 = 520 × 3 = 1560.

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

Total items sold in 2023 = 1560 × 120% = 1872.

Step 3: Find the total items sold by Shop A in 2022

From the graph, one-third of the items sold by Shop A in 2022 = 700.

Total items sold by Shop A in 2022 = 700 × 3 = 2100.

Step 4: Calculate the required percentage

Percentage less = ((2100 − 1872) ÷ 2100) × 100

= (228 ÷ 2100) × 100

= 10.86% ≈ 11%

Answer: Approximately 11% less.

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