Read the following line graph carefully and answer the questions given below.…
2024
Read the following line graph carefully and answer the questions given below. The line graph shows 1/3rd 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.
- A.
2676
- B.
2194
- C.
2150
- D.
2058
- E.
2100
Show answer & explanation
Correct answer: A
Concept
In a data-interpretation graph, a plotted value can represent a fixed fraction of an actual total. Here each plotted point is one-third of the items sold, so the actual items sold = 3 x (plotted value). A stated year-on-year growth of r% multiplies a base total by (1 + r/100). To compare two groups, convert every plotted value to an actual total using these two rules, then add and subtract as the question demands.
Applying it to this problem
Read the plotted values. For 2021: A = 600, B = 420, D = 520. For 2022: A = 700.
Convert each plotted value to an actual total by multiplying by 3. 2021 actual totals -> A = 1800, B = 1260, D = 1560; 2022 actual total -> A = 2100.
Build 2023 from the growth note: 2023 total = 2021 total x 1.20. So A(2023) = 1800 x 1.20 = 2160, B(2023) = 1260 x 1.20 = 1512, D(2023) = 1560 x 1.20 = 1872.
Required group 1 - B and D together in 2023 = 1512 + 1872 = 3384.
Required group 2 - A across all three years = A(2021) + A(2022) + A(2023) = 1800 + 2100 + 2160 = 6060.
Take the difference: 6060 - 3384 = 2676. So A across the three years exceeds B and D of 2023 by 2676.
Cross-check
Re-add A's three years independently: 1800 + 2100 = 3900, then 3900 + 2160 = 6060. Re-add the group: 1512 + 1872 = 3384. The gap 6060 - 3384 = 2676 is confirmed, so the magnitude asked for is 2676.