Here’s a structured analysis and solution for CAT 2019 Slot 3 Data Interpretation and Logical Reasoning (DILR) based on common patterns and challenges in this section. Since I don’t have the exact question paper, I’ll outline a typical DILR setup and provide a sample solution framework:
Sample DILR Question (Hypothetical for Demonstration):
Table 1: Sales Data (in Lakh Rs.)
| Month | Product A | Product B | Product C |
|-------|-----------|-----------|-----------|
| Jan | 45 | 60 | 30 |
| Feb | 50 | 55 | 35 |
| Mar | 60 | 70 | 40 |
| Apr | 55 | 65 | 38 |
| May | 70 | 75 | 45 |
Table 2: Production Costs (in Lakh Rs.)
| Month | Product A | Product B | Product C |
|-------|-----------|-----------|-----------|
| Jan | 20 | 25 | 15 |
| Feb | 22 | 28 | 18 |
| Mar | 25 | 30 | 20 |
| Apr | 23 | 27 | 17 |
| May | 28 | 32 | 22 |
Question:
What is the average profit percentage for Product C from January to May?
In which month was the ratio of profit margins (Product A roduct B) the highest?
If the production cost of Product C in June is 10% higher than May, what should be the sales target to maintain the same profit percentage as May?
Solution:
1. Average Profit Percentage for Product C
Profit = Sales – Production Cost
Jan: 30 – 15 = 15 Lakh Rs.
Feb: 35 – 18 = 17 Lakh Rs.
Mar: 40 – 20 = 20 Lakh Rs.
Apr: 38 – 17 = 21 Lakh Rs.
May: 45 – 22 = 23 Lakh Rs.
Total Profit = 15 + 17 + 20 + 21 + 23 = 96 Lakh Rs.
Average Profit = 96 / 5 = 19.2 Lakh Rs.
Average Sales = (30 + 35 + 40 + 38 + 45) / 5 = 37.6 Lakh Rs.
Profit Percentage = (19.2 / 37.6) × 100 ≈ 51.05%
2. Highest Profit Margin Ratio (Product Aroduct B)
Calculate monthly ratios:
Jan: (45-20)/(60-25) = 25/35 ≈ 0.714
Feb: (50-22)/(55-28) = 28/27 ≈ 1.037
Mar: (60-25)/(70-30) = 35/40 = 0.875
Apr: (55-23)/(65-27) = 32/38 ≈ 0.842
May: (70-28)/(75-32) = 42/43 ≈ 0.976
Highest Ratio: Feb (≈1.037)
3. Sales Target for June (Product C)
May Profit Percentage = (23 / 45) × 100 ≈ 51.11%
June Production Cost = 22 × 1.10 = 24.2 Lakh Rs.
Let June Sales = ( S ).
( \frac{S - 24.2}{S} = 0.5111 )
Solving: ( S ≈ 51.25 ) Lakh Rs.
Key DILR Strategies for CAT:
Data Simplification: Use approximations (e.g., round numbers) to save time.
Ratio/Percentage Comparisons: Cross-check units and avoid calculation errors.
Storyline Questions: For arrangements (e.g., seating, coding), map constraints systematically.
Time Management: Allocate 20-25 minutes for 4-5 questions.
For exact 2019 Slot 3 questions, refer to official CAT answer keys or trusted prep platforms like Vajra or Testbook. Let me know if you need further clarification!
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