CAT 2021 Slot 1 · DILR · Question 18
CAT 2021 Slot 1 previous year question on Reasoning Based DI, with the answer and a step-by-step solution.
Set 4: Sales by Product Subcategory — this question belongs to a set. Read the full set with all 4 questions →
The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.- A20%
- B8%
- C25%
- D1%
Answer & solution
Answer: Option B
Solving the set
Step 1 – Read each subcategory's 2020 bar (length) and 2019 marker (vertical line) from the chart (₹ million).
Category | Subcategory | 2019 | 2020 | % change |
Furniture | Bookcases | 1.9 | 2.2 | +15.8% |
Chairs | 6.15 | 7.0 | +13.8% | |
Furnishings | 2.0 | 2.05 | +2.5% | |
Tables | 4.35 | 4.5 | +3.4% | |
Office supply | Binders | 3.65 | 5.3 | +45.2% |
Art | 0.45 | 0.6 | +33.3% | |
Appliances | 1.9 | 3.1 | +63.2% | |
Envelopes | 0.4 | 0.2 | −50% | |
Fasteners | 0.05 | 0.1 | +100% | |
Labels | 0.2 | 0.3 | +50% | |
Paper | 1.5 | 2.0 | +33.3% | |
Storage | 4.3 | 5.1 | +18.6% | |
Supplies | 1.05 | 1.2 | +14.3% | |
Technology | Accessories | 3.05 | 4.4 | +44.3% |
Copiers | 3.65 | 4.6 | +26.0% | |
Machines | 4.1 | 3.2 | −22.0% | |
Phones | 5.8 | 7.7 | +32.8% |
Step 2 – Category totals and improvement indices.
Category | 2019 total | 2020 total | Change | Improvement index (max subcategory %) |
Furniture | 14.4 | 15.75 | +9.4% | 15.8% (Bookcases) |
Office supply | 13.5 | 17.9 | +32.6% | 100% (Fasteners) |
Technology | 16.6 | 19.9 | +19.9% | 44.3% (Accessories) |
This question
Furniture rose from 14.4 to 15.75: (15.75 − 14.4)/14.4 × 100 ≈ 9.4%. Of the options, 8% is closest.
Hence, the answer is option 2.
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