Let's break down the problem to find the cost of production for Item I by company A and Item II by company B based on the given data. The total cost of production for both items combined across all seven companies is Rs. 25 crores.

Understanding the Company Production Data

The table provides crucial information for each company (A-G):

• The percentage of the total production cost that each company accounts for.
• The ratio in which each company divides its production cost between Item I and Item II.
• The profit percentage earned on each item. (Note: Profit information is not needed to answer this specific question about production cost).

The total cost of production for all companies together is Rs. 25 crores.

Total Cost = Rs. 25,00,00,000

Calculating Production Cost for Company A

First, we find the total production cost for Company A.

• Company A's percentage of total production = 15%.
• Total production cost for Company A = 15% of Total Cost
• Total production cost for Company A = $\frac{15}{100} \times 25 \text{ crores}$
• Total production cost for Company A = $0.15 \times 25 \text{ crores} = 3.75 \text{ crores}$

Next, we find the cost of production for Item I by Company A.

• The ratio of production between Item I and Item II for Company A is 2 : 3.
• The total parts in the ratio are $2 + 3 = 5$.
• The cost of production for Item I is $\frac{2}{5}$ of the total production cost for Company A.
• Cost of production for Item I by A = $\frac{2}{5} \times 3.75 \text{ crores}$
• Cost of production for Item I by A = $0.4 \times 3.75 \text{ crores} = 1.5 \text{ crores}$

Calculating Production Cost for Company B

Now, we find the total production cost for Company B.

• Company B's percentage of total production = 11%.
• Total production cost for Company B = 11% of Total Cost
• Total production cost for Company B = $\frac{11}{100} \times 25 \text{ crores}$
• Total production cost for Company B = $0.11 \times 25 \text{ crores} = 2.75 \text{ crores}$

Next, we find the cost of production for Item II by Company B.

• The ratio of production between Item I and Item II for Company B is 3 : 2.
• The total parts in the ratio are $3 + 2 = 5$.
• The cost of production for Item II is $\frac{2}{5}$ of the total production cost for Company B.
• Cost of production for Item II by B = $\frac{2}{5} \times 2.75 \text{ crores}$
• Cost of production for Item II by B = $0.4 \times 2.75 \text{ crores} = 1.1 \text{ crores}$

Finding the Sum Total of Production Costs

The question asks for the sum total of the cost of production of Item I by company A and the cost of production of Item II by company B.

• Sum = (Cost of production for Item I by A) + (Cost of production for Item II by B)
• Sum = 1.5 crores + 1.1 crores
• Sum = 2.6 crores

The sum total of the cost of production of item I by company A and the cost of production of item II by company B is 2.6 crores.

Revision Table - Key Calculations

Additional Information - Data Interpretation

Data interpretation questions require careful reading of the provided information, often presented in tables or charts. The key is to extract the relevant data points and perform the necessary calculations based on percentages, ratios, averages, etc.

• Percentages: A percentage represents a part out of a hundred. To find a percentage of a value, convert the percentage to a decimal or fraction and multiply by the value.
• Ratios: A ratio expresses the relationship between two or more quantities. If a quantity is divided in a ratio A : B, the total parts are A + B. The first quantity is $\frac{A}{A+B}$ of the total, and the second is $\frac{B}{A+B}$ of the total.
• Crores vs Lakhs: 1 crore = 100 lakhs = 10,000,000. It is important to pay attention to units in the question and options. In this case, the answer is in crores.
• Step-by-step Approach: Break down complex problems into smaller, manageable steps. First, calculate company totals, then item-specific costs based on ratios, and finally, combine results as required.