This problem requires us to interpret data presented in a table showing production costs and profit distribution for seven different companies (A to G). We are given the total cost of production for all companies together and specific details for each company regarding the percentage of this total cost, the ratio of costs between two items (Item I and Item II), and the profit percentages for each item.

The question asks for the total cost of production of Item I specifically by Company 'A' and Company 'C' combined.

Understanding the Production Cost Data Table

First, let's look at the provided table which contains the necessary information:

The total cost of production for all seven companies is given as Rs. 50 crores. The 'Percentage Cost of Production of Item I and Item II' column shows what percentage of this Rs. 50 crores is attributable to each company's total production (Item I + Item II).

Calculating Item I Production Cost for Company A

Company A's total production cost (Item I + Item II) is 15% of the grand total cost (Rs. 50 crores).

• Total cost for Company A = \( 15\% \text{ of } 50 \text{ crores} \)
• Total cost for Company A = \( \frac{15}{100} \times 50 \) crores
• Total cost for Company A = \( \frac{750}{100} = 7.5 \) crores

For Company A, the ratio of Item I production cost to Item II production cost is 2:3. This means for every 2 parts of Item I cost, there are 3 parts of Item II cost. The total number of ratio parts is \( 2 + 3 = 5 \).

The cost of Item I for Company A is \( \frac{2}{5} \) of the total cost for Company A.

• Cost of Item I for Company A = \( \frac{2}{5} \times 7.5 \) crores
• Cost of Item I for Company A = \( \frac{15}{5} = 3 \) crores

Calculating Item I Production Cost for Company C

Company C's total production cost (Item I + Item II) is 22% of the grand total cost (Rs. 50 crores).

• Total cost for Company C = \( 22\% \text{ of } 50 \text{ crores} \)
• Total cost for Company C = \( \frac{22}{100} \times 50 \) crores
• Total cost for Company C = \( \frac{1100}{100} = 11 \) crores

For Company C, the ratio of Item I production cost to Item II production cost is 4:1. The total number of ratio parts is \( 4 + 1 = 5 \).

The cost of Item I for Company C is \( \frac{4}{5} \) of the total cost for Company C.

• Cost of Item I for Company C = \( \frac{4}{5} \times 11 \) crores
• Cost of Item I for Company C = \( \frac{44}{5} = 8.8 \) crores

Total Item I Production Cost for Companies A and C Together

To find the total cost of production of Item I by Companies 'A' and 'C' together, we sum their individual Item I costs.

• Total Item I cost (A + C) = Cost of Item I for A + Cost of Item I for C
• Total Item I cost (A + C) = \( 3 \text{ crores} + 8.8 \text{ crores} \)
• Total Item I cost (A + C) = \( 11.8 \text{ crores} \)

Therefore, the total cost of production of Item I by Companies 'A' and 'C' together is Rs. 11.8 Crores.

Revision Table: Key Calculations

Additional Information: Data Interpretation Tips

Solving data interpretation problems involving tables requires careful reading and step-by-step calculations. Here are some tips:

• Always understand the total values or base values provided. In this case, it was the total production cost of Rs. 50 crores.
• Pay attention to percentages and ratios. Percentages usually relate to a total value, while ratios represent proportions within a value.
• Break down the problem into smaller steps. Calculate values for individual entities (like one company) before combining them.
• Ensure you are calculating exactly what the question asks for (e.g., Item I cost, not total cost or Item II cost).
• Double-check your calculations, especially when dealing with decimals and fractions.
• The profit percentages provided in the table were not needed to answer this specific question, which only asked about production cost. Always focus on the data relevant to the question asked.