Question

The total sales (in ₹ million) in 2019 from products in office supplies category is closest to

• A. 18.0
• B. 16.5
• C. 13.5
• D. 12.5
• A. 20%
• B. 8%
• C. 25%
• D. 1%
• A. furniture, technology, office supply
• B. technology, furniture, office supply
• C. office supply, technology, furniture
• D. office supply, furniture, technology

Answer 1

The Correct Option is C

To find the total sales from the office supplies category for the year 2019, we first need to identify the relevant subcategories, which are neither in the furniture nor technology categories. In the provided bar graph, these subcategories include:

• Paper
• Labels
• Storage
• Appliances
• Binders
• Envelopes
• Fasteners
• Art
• Presentation
• Supplies

By reviewing the corresponding vertical lines for these subcategories on the graph, we can estimate their 2019 sales in ₹ million. Summing these estimates gives us an approximate total for the office supplies sales in 2019.

Subcategory	2019 Sales (₹ million)
Paper	2.5
Labels	1.0
Storage	0.5
Appliances	1.0
Binders	1.5
Envelopes	1.0
Fasteners	1.0
Art	1.0
Presentation	2.0
Supplies	2.0

Now, summing these amounts:

2.5 + 1.0 + 0.5 + 1.0 + 1.5 + 1.0 + 1.0 + 1.0 + 2.0 + 2.0 = 13.5

Therefore, the total sales in 2019 from products in the office supplies category is closest to ₹13.5 million.

Answer 2

To calculate the percentage increase in sales in the Furniture category from 2019 to 2020, follow these steps:

1. Identify the sales of the Furniture category subcategories in both 2019 and 2020. The subcategories are Bookcases, Chairs, Furnishings, and Tables.
2. Sum the sales for each year:
   • 2019 Sales = Bookcases₂₀₁₉ + Chairs₂₀₁₉ + Furnishings₂₀₁₉ + Tables₂₀₁₉
   • 2020 Sales = Bookcases₂₀₂₀ + Chairs₂₀₂₀ + Furnishings₂₀₂₀ + Tables₂₀₂₀
3. Find the change in sales: Change in Sales = 2020 Sales - 2019 Sales
4. Calculate the percentage increase:

Percentage Increase = (Change in Sales / 2019 Sales) × 100

From the diagram and provided data:

• 2019 Sales ≈ ₹100 million
• 2020 Sales ≈ ₹108 million

Hence, Change in Sales = ₹108 million - ₹100 million = ₹8 million

Percentage Increase = (₹8 million / ₹100 million) × 100 = 8%

Therefore, the percentage increase in sales in the Furniture category from 2019 to 2020 is closest to 8%.

Answer 3

• Condition 1: Sales in 2019 must be ₹ 4 million or more.
• Condition 2: Sales in 2020 must be more than 25% higher than the 2019 sales.

Now evaluating each subcategory: 

1. Chairs:
   Sales in 2019 = ₹ 6.2 million 
   Sales in 2020 = ₹ 7 million 
   Required sales for 25% increase = \( 6.2 \times 1.25 = 7.75 \) million 
   Since ₹ 7 million < ₹ 7.75 million, this subcategory fails.
2. Tables:
   Sales in 2019 = ₹ 4.4 million 
   Sales in 2020 = ₹ 4.5 million 
   Required sales for 25% increase = \( 4.4 \times 1.25 = 5.5 \) million 
   Since ₹ 4.5 million < ₹ 5.5 million, this subcategory fails.
3. Storage:
   Sales in 2019 = ₹ 4.3 million 
   Sales in 2020 = ₹ 5.1 million 
   Required sales for 25% increase = \( 4.3 \times 1.25 = 5.375 \) million 
   Since ₹ 5.1 million < ₹ 5.375 million, this subcategory fails.
4. Phones:
   Sales in 2019 = ₹ 5.75 million 
   Sales in 2020 = ₹ 7.5 million 
   Percentage increase = \( \frac{7.5 - 5.75}{5.75} \times 100 = 30.43\% \) 
   Since 30.43% > 25%, this subcategory satisfies both conditions.

Final Answer: Only one subcategory satisfies the given condition — Phones.

Answer 4

To determine the improvement index for each category, analyze the sales percentage increase from 2019 to 2020 for subcategories within each main category. The improvement index is defined as the maximum percentage increase among subcategories of each category. The steps to find the correct order are:

1. Furniture: Subcategories: Bookcases, Chairs, Furnishings, Tables. Identify the maximum percentage increase.
2. Technology: Subcategories: Accessories, Copiers, Machines, Phones. Identify the maximum percentage increase.
3. Office Supply: Other subcategories not in Furniture or Technology. Identify the maximum percentage increase.
4. Calculate the percentage increase for each subcategory: \[ \text{Percentage Increase} = \left(\frac{\text{Sales in 2020} - \text{Sales in 2019}}{\text{Sales in 2019}}\right) \times 100 \]
5. Identify maximum for each category:

Category	Max Percentage Increase
Furniture	Calculated Value
Technology	Calculated Value
Office Supply	Calculated Value

6. Order categories by their maximum percentage increase in ascending order.

The correct order is furniture, technology, office supply, as stated in the given options.