The question asks for the ratio of the number of Model-F Laptops produced in 2019 to the number of Model-C Laptops produced in 2020. We are given the total production for each year and the percentage distribution of production for different laptop models.

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

We are also given the total number of Laptops produced:

• Total Laptops produced in 2019 = 35 lakhs
• Total Laptops produced in 2020 = 44 lakhs

Now, let's calculate the number of Model-F Laptops produced in 2019 and the number of Model-C Laptops produced in 2020.

Calculating Laptop Production Numbers

To find the number of laptops of a specific model in a year, we use the formula:

Number of laptops = (Percentage distribution / 100) × Total production for the year

Model-F Laptops Production in 2019

From the table, the percentage distribution of Model-F Laptops in 2019 is 10%.

Total production in 2019 is 35 lakhs.

Number of Model-F Laptops in 2019 $=$ $\frac{10}{100} \times 35 \text{ lakhs}$

Number of Model-F Laptops in 2019 $=$ $0.10 \times 35 \text{ lakhs}$

Number of Model-F Laptops in 2019 $=$ $3.5 \text{ lakhs}$

Model-C Laptops Production in 2020

From the table, the percentage distribution of Model-C Laptops in 2020 is 15%.

Total production in 2020 is 44 lakhs.

Number of Model-C Laptops in 2020 $=$ $\frac{15}{100} \times 44 \text{ lakhs}$

Number of Model-C Laptops in 2020 $=$ $0.15 \times 44 \text{ lakhs}$

Number of Model-C Laptops in 2020 $=$ $6.6 \text{ lakhs}$

Calculating the Ratio of Laptop Production

We need to find the ratio of the number of Model-F Laptops produced in 2019 to the number of Model-C Laptops produced in 2020.

Ratio $=$ (Number of Model-F Laptops in 2019) : (Number of Model-C Laptops in 2020)

Ratio $=$ $3.5 \text{ lakhs} : 6.6 \text{ lakhs}$

To express this ratio in simple whole numbers, we can multiply both sides by 10 to remove the decimal point:

Ratio $=$ $3.5 \times 10 : 6.6 \times 10$

Ratio $=$ $35 : 66$

The ratio of the number of Model-F Laptops produced in 2019 to the number of Model-C Laptops produced in 2020 is 35 : 66.

Comparing this ratio with the given options, we find that 35 : 66 matches one of the options.

Revision Table: Key Calculations Review

Additional Information: Understanding Ratios in Data Analysis

A ratio is a way to compare two quantities. It shows how many times one quantity contains another. Ratios can be written using a colon (:) or as a fraction. In data analysis questions like this, calculating ratios helps in comparing different components or trends within the data set, even if the base totals are different (as is the case with total production in 2019 and 2020).

When working with ratios involving decimals, multiplying both parts of the ratio by the same power of 10 (like 10, 100, etc.) can help convert them into a ratio of whole numbers, which is often preferred for simplicity and comparison.