This problem involves analyzing data from a table showing bicycle production distribution, production ratios for different models, and profit percentages across six companies. We need to find the ratio of the cost of production of model L by Company D to that of model M by Company F.

First, let's look at the provided data table:

The total production cost for all six companies combined is Rs. 6.4 crore. The percentage distribution of production indicates the share of total bicycles produced by each company. Assuming the total production cost is distributed among companies based on their percentage share of total production, we can find the total production cost for each company.

Calculating Production Cost for Company D and Company F

The question asks about the cost of production for specific models (L and M) by specific companies (D and F). The table gives the production ratio of Model L to Model M for each company. We can use this ratio to distribute the company's total production cost between the two models.

Production Cost for Company D

• Percentage distribution for Company D = 13%
• Total production cost across all companies = Rs. 6.4 crore
• Total production cost for Company D = 13% of Rs. 6.4 crore

Production Ratio L:M for Company D is 6:7. This means for every 6 units of Model L, 7 units of Model M are produced. The total parts in this ratio are \(6 + 7 = 13\).

Assuming the cost per bicycle is uniform within Company D, the cost of production for Model L by Company D is the fraction of Model L production within Company D's total production, multiplied by Company D's total production cost.

Cost of production of Model L by Company D = \(\frac{\text{Ratio part for L}}{\text{Total ratio parts}} \times \text{Total cost for Company D}\)

Cost of production of Model L by Company D = \(\frac{6}{13} \times (13\% \text{ of } 6.4 \text{ crore})\)

Cost of production of Model L by Company D = \(\frac{6}{13} \times \frac{13}{100} \times 6.4 \text{ crore}\)

Cost of production of Model L by Company D = \(\frac{6}{100} \times 6.4 \text{ crore} = 0.06 \times 6.4 \text{ crore}\)

Production Cost for Company F

• Percentage distribution for Company F = 21%
• Total production cost across all companies = Rs. 6.4 crore
• Total production cost for Company F = 21% of Rs. 6.4 crore

Production Ratio L:M for Company F is 11:10. The total parts in this ratio are \(11 + 10 = 21\).

Cost of production of Model M by Company F = \(\frac{\text{Ratio part for M}}{\text{Total ratio parts}} \times \text{Total cost for Company F}\)

Cost of production of Model M by Company F = \(\frac{10}{21} \times (21\% \text{ of } 6.4 \text{ crore})\)

Cost of production of Model M by Company F = \(\frac{10}{21} \times \frac{21}{100} \times 6.4 \text{ crore}\)

Cost of production of Model M by Company F = \(\frac{10}{100} \times 6.4 \text{ crore} = 0.10 \times 6.4 \text{ crore}\)

Determining the Required Ratio

We need to find the ratio of the cost of production of model L by Company D to that of model M by Company F.

Ratio = (Cost of production of Model L by Company D) : (Cost of production of Model M by Company F)

Ratio = \((0.06 \times 6.4 \text{ crore}) : (0.10 \times 6.4 \text{ crore})\)

We can cancel out the common term \(6.4 \text{ crore}\) from both sides of the ratio.

Ratio = \(0.06 : 0.10\)

To express this ratio in whole numbers, we can multiply both parts by 100:

Ratio = \(0.06 \times 100 : 0.10 \times 100\)

Ratio = \(6 : 10\)

Now, we can simplify the ratio by dividing both numbers by their greatest common divisor, which is 2.

Ratio = \(\frac{6}{2} : \frac{10}{2}\)

Ratio = \(3 : 5\)

The ratio of the cost of production of model L by Company D to that of model M by Company F is 3:5.

Revision Table: Key Calculations

Additional Information: Understanding Data Interpretation Questions

Data Interpretation (DI) questions require careful reading and understanding of the provided tables, charts, or graphs. Key steps often involve:

• Reading the question carefully to identify exactly what is being asked.
• Identifying the relevant data points in the table or chart.
• Understanding the units and percentages used.
• Performing calculations based on the relationships between different data points (e.g., using percentages to find values, using ratios to distribute quantities).
• Paying attention to details like total values (e.g., total production cost) and how they relate to individual company data.
• In this specific problem, the profit percentages were extra information not needed for calculating the cost ratio. It's important to identify which data is relevant.

These types of questions test your ability to extract information, perform calculations, and interpret results in the context of the given data.