CAT 2022 Slot 2 · DILR · Question 13

CAT 2022 Slot 2 previous year question on Reasoning Based DI, with the answer and a step-by-step solution.

Reasoning Based DIDATA INTERPRETATION -High LevelMultiple choiceMedium

Set 3: Revenue, Costs and Employees of Four Companies — this question belongs to a set. Read the full set with all 5 questions →

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs.

The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

The ratio of a company's annual profit to its annual costs is a measure of its performance. Which of the four companies had the lowest value of this ratio in 2019?
  1. A
    Company A
  2. B
    Company D
  3. C
    Company B
  4. D
    Company C
Pick an option, then check.
Answer & solution

Answer: Option A

Solving the set

Step 1 – Read the first plot (revenue on the horizontal axis, cost on the vertical axis) and compute profit = revenue − cost (Rs. crores).

Company

2019 (Rev, Cost, Profit)

2020 (Rev, Cost, Profit)

2021 (Rev, Cost, Profit)

A

90, 85, 5

90, 65, 25

60, 30, 30

B

100, 75, 25

90, 40, 50

30, 30, 0

C

25, 20, 5

70, 60, 10

100, 30, 70

D

50, 40, 10

20, 50, −30

70, 70, 0

Step 2 – Read the second plot (employee strength at the start of the year on the horizontal axis, new hires on the vertical axis).

Company

Start 2019

Hires 2019

Start 2020

Hires 2020

Start 2021

Hires 2021

A

150

20

140

35

150

25

B

210

35

240

45

250

30

C

325

45

325

40

325

35

D

400

30

410

35

400

40

Step 3 – Employees lost during a year = strength at the start + hires − strength at the start of the next year.

This question

Company

2019 profit

2019 cost

Profit / cost

A

5

85

0.06

B

25

75

0.33

C

5

20

0.25

D

10

40

0.25

Company A has the lowest profit-to-cost ratio in 2019.

Hence, the answer is option 1.

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