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CAT 2018 Slot 2 DILR · Set 3 of 8Data InterpretationModerate DifficultyQ9–Q12 · 4 MCQ

CAT 2018 Slot 2 DILR Set 3: Tables (4 Questions) with Solutions

The Tables set from the official CAT 2018 Slot 2 DILR paper: the caselet, all 4 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2018 Slot 2 DILR · Questions 9–12
There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country. Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
BrandMarket Share (%)Unit Selling Price (Rs.)Profitability (%)
Azra4015,00010
Bysi2520,00030
Cxqi1530,00040
Dipq2025,00030
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.

In the exam this set competed with 7 others for 60 minutes. Budget about 8 minutes if you attempt it.

Q9. Tables

MCQ · +3 / −1
The brand that had the highest revenue in 2016 is:
  1. A) Azra
  2. B) Bysi
  3. C) Dipq
  4. D) Cxqi
Correct Answer
A) Azra
Step-by-step solution
Clue Breakdown:
Extract key data points for 2016: Market Share, Unit Selling Price, Profitability.
Calculate revenue for each brand in 2016.
Compare revenues to determine the highest.
Step-by-Step Deduction Grid:
BrandMarket Share (%)Unit Selling Price (Rs.)Revenue in 2016 (per U)
Azra4015,0000.4U * 15,000 = 6,000U
Bysi2520,0000.25U * 20,000 = 5,000U
Cxqi1530,0000.15U * 30,000 = 4,500U
Dipq2025,0000.2U * 25,000 = 5,000U
Question Resolution:
Azra's revenue is 6,000U, the highest among all brands.
Final Answer Confirmation: Correct Answer: A

Q10. Tables

MCQ · +3 / −1
The brand that had the highest profit in 2016 is:
  1. A) Bysi
  2. B) Azra
  3. C) Dipq
  4. D) Cxqi
Correct Answer
D) Cxqi
Step-by-step solution
Clue Breakdown:
Extract key data for 2016: Market Share, Unit Selling Price, Profitability.
Profit = Profitability% Unit Price Market Share (assuming same sales volume).
Step-by-Step Deduction Grid:
BrandMarket Share (%)Unit Price (Rs.)Profitability (%)Profit Calculation (2016)Profit (Rs.)
Azra4015,000100.10 15,000 0.406,000
Bysi2520,000300.30 20,000 0.2515,000
Cxqi1530,000400.40 30,000 0.1518,000
Dipq2025,000300.30 25,000 0.2015,000
Question Resolution: The highest profit in 2016 is calculated for each brand. Cxqi has the highest profit of Rs. 18,000.
Final Answer Confirmation: Correct Answer: D

Q11. Tables

MCQ · +3 / −1
The brand that had the highest profit in 2017 is:
  1. A) Cxqi
  2. B) Bysi
  3. C) Azra
  4. D) Dipq
Correct Answer
B) Bysi
Step-by-step solution
📌 Core Concept
Profit = units sold × unit price × profitability. Work out the 2017 volume, share, price and margin of each brand, then compare the profits.
🔢 Step-by-Step Solution
1
Take 2016 sales as 100 units. Then 2017 sales are 140 units, since volume grew 40%.
2
2017 market shares: Cxqi rises by 15 points to 30%. Azra, Bysi and Dipq each lose 5 points, giving 35%, 20% and 15%.
3
2017 units: Azra 0.35×140=490.35 \times 140 = 49, Bysi 0.20×140=280.20 \times 140 = 28, Cxqi 0.30×140=420.30 \times 140 = 42, Dipq 0.15×140=210.15 \times 140 = 21.
4
Cxqi's 2017 price is 30000×0.6=1800030000 \times 0.6 = 18000 and its profitability is 40%/2=20%40\%/2 = 20\%. The other brands keep their 2016 prices and margins.
5
Profit in units of Rs. 1,000 (units × price in thousands × margin):
Azra: 49×15×0.10=73.549 \times 15 \times 0.10 = 73.5
Bysi: 28×20×0.30=16828 \times 20 \times 0.30 = 168
Cxqi: 42×18×0.20=151.242 \times 18 \times 0.20 = 151.2
Dipq: 21×25×0.30=157.521 \times 25 \times 0.30 = 157.5
6
Bysi has the highest profit.
Why Not the Others
Cxqi: 151.2 is below Bysi's 168, because the price cut and the halved margin offset the extra volume.
Azra: 73.5 is the lowest, as its margin is only 10%.
Dipq: 157.5 is below 168.
Quick Check
Bysi earns 28×6=16828 \times 6 = 168 per Rs. 1,000 of unit price, which is more than Dipq's 21×7.5=157.521 \times 7.5 = 157.5.
Correct Answer: B

Q12. Tables

MCQ · +3 / −1
The complete list of brands whose profits went up in 2017 from 2016 is:
  1. A) Bysi, Cxqi, Dipq
  2. B) Azra, Bysi, Dipq
  3. C) Azra, Bysi, Cxqi
  4. D) Cxqi, Azra, Dipq
Correct Answer
B) Azra, Bysi, Dipq
Step-by-step solution
📌 Core Concept
Compute each brand's profit (units × price × profitability) for 2016 and 2017, then compare them.
🔢 Step-by-Step Solution
1
Take 2016 sales as 100 units, so the units equal the market shares. Profit in units of Rs. 1,000:
Azra: 40×15×0.10=6040 \times 15 \times 0.10 = 60
Bysi: 25×20×0.30=15025 \times 20 \times 0.30 = 150
Cxqi: 15×30×0.40=18015 \times 30 \times 0.40 = 180
Dipq: 20×25×0.30=15020 \times 25 \times 0.30 = 150
2
2017 sales are 140 units. The shares are Azra 35%, Bysi 20%, Cxqi 30% and Dipq 15%, so the units are 49, 28, 42 and 21.
3
Cxqi's 2017 price is 30000×0.6=1800030000 \times 0.6 = 18000 and its profitability is 20%. The other three keep their 2016 prices and margins.
4
2017 profit in the same units:
Azra: 49×15×0.10=73.549 \times 15 \times 0.10 = 73.5
Bysi: 28×20×0.30=16828 \times 20 \times 0.30 = 168
Cxqi: 42×18×0.20=151.242 \times 18 \times 0.20 = 151.2
Dipq: 21×25×0.30=157.521 \times 25 \times 0.30 = 157.5
5
Compare 2017 with 2016. Azra rose from 60 to 73.5, Bysi from 150 to 168 and Dipq from 150 to 157.5. Cxqi fell from 180 to 151.2.
6
The brands whose profits went up are Azra, Bysi and Dipq.
Why Not the Others
Options A, C and D each include Cxqi, whose profit fell. The discount and the halved margin outweighed the volume gain.
Correct Answer: B
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CAT 2018 Slot 2 DILR at a Glance

Sets in this section8
Questions in this section32
Section time60 minutes
Convenor IIMIIM Calcutta

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