Analyzing Laptop Production Data

The question asks for the difference in the number of Model-B laptops produced between the years 2019 and 2020. To find this difference, we first need to calculate the actual number of Model-B laptops produced in each year based on the total production and the percentage distribution provided in the table.

Here is the data table showing the percentage distribution of laptop production:

We are given the total production for each year:

• Total production in 2019 = 35 lakh
• Total production in 2020 = 44 lakh

Calculating Model-B Production in 2019

In 2019, Model-B accounted for 15% of the total production. The total production in 2019 was 35 lakh. So, the number of Model-B laptops produced in 2019 is:

\text{Number of Model-B Laptops (2019)} = \text{15% of 35 lakh}

We can calculate this as:

$\frac{15}{100} \times 35 \text{ lakh} = \frac{15 \times 35}{100} \text{ lakh} = \frac{525}{100} \text{ lakh} = 5.25 \text{ lakh}$

So, 5.25 lakh Model-B laptops were produced in 2019.

Calculating Model-B Production in 2020

In 2020, Model-B accounted for 20% of the total production. The total production in 2020 was 44 lakh. So, the number of Model-B laptops produced in 2020 is:

\text{Number of Model-B Laptops (2020)} = \text{20% of 44 lakh}

We can calculate this as:

$\frac{20}{100} \times 44 \text{ lakh} = \frac{20 \times 44}{100} \text{ lakh} = \frac{880}{100} \text{ lakh} = 8.80 \text{ lakh}$

So, 8.80 lakh Model-B laptops were produced in 2020.

Calculating the Difference

Now, we find the difference between the number of Model-B laptops produced in 2020 and 2019:

\text{Difference} = \text{Production in 2020} - \text{Production in 2019}

\text{Difference} = 8.80 \text{ lakh} - 5.25 \text{ lakh}

\text{Difference} = 3.55 \text{ lakh}

Therefore, the difference in the number of Model-B Laptops produced between 2019 and 2020 was 3.55 lakh.

Revision Table: Key Calculations

Additional Information: Understanding Percentages in Data Analysis

Percentages are widely used in data interpretation to represent parts of a whole. When analyzing data presented as percentages of different totals, it's crucial to remember that comparing percentages directly can be misleading. You must always convert the percentages back to the absolute numbers (or values) using the respective totals for accurate comparisons or calculations of differences and sums.

• A percentage is a fraction out of 100. For example, 15% is equivalent to $\frac{15}{100}$ or 0.15.
• To find the percentage of a number, you multiply the number by the percentage (converted to a decimal or fraction). For instance, 15% of 35 is $0.15 \times 35$.
• In data interpretation problems, always identify the base total for each percentage value before performing calculations.