Calculating Unsold Model-D Laptops

The question asks us to determine the total number of Model-D laptops that remained unsold over the years 2019 and 2020. We are given the total laptop production for each year, the percentage distribution of production for various models including Model-D, and the percentage of Model-D laptops that were sold each year.

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

Total production in 2019 was 35 lakh (3,500,000).

Total production in 2020 was 44 lakh (4,400,000).

For Model-D laptops, 90% of those produced were sold in each year. This means 100% - 90% = 10% of the Model-D laptops produced remained unsold each year.

Step-by-Step Calculation of Unsold Model-D Laptops

1. Calculate Production of Model-D Laptops in 2019:

In 2019, 10% of the total production was Model-D. Total production was 35 lakh.

Model-D Production in 2019 $= 10\%$ of $3,500,000$

Model-D Production in 2019 $= \frac{10}{100} \times 3,500,000$

Model-D Production in 2019 $= 0.10 \times 3,500,000 = 350,000$ laptops

2. Calculate Unsold Model-D Laptops in 2019:

In 2019, 10% of Model-D laptops produced remained unsold.

Unsold Model-D in 2019 $= 10\%$ of Model-D Production in 2019

Unsold Model-D in 2019 $= 10\%$ of $350,000$

Unsold Model-D in 2019 $= \frac{10}{100} \times 350,000$

Unsold Model-D in 2019 $= 0.10 \times 350,000 = 35,000$ laptops

3. Calculate Production of Model-D Laptops in 2020:

In 2020, 10% of the total production was Model-D. Total production was 44 lakh.

Model-D Production in 2020 $= 10\%$ of $4,400,000$

Model-D Production in 2020 $= \frac{10}{100} \times 4,400,000$

Model-D Production in 2020 $= 0.10 \times 4,400,000 = 440,000$ laptops

4. Calculate Unsold Model-D Laptops in 2020:

In 2020, 10% of Model-D laptops produced remained unsold.

Unsold Model-D in 2020 $= 10\%$ of Model-D Production in 2020

Unsold Model-D in 2020 $= 10\%$ of $440,000$

Unsold Model-D in 2020 $= \frac{10}{100} \times 440,000$

Unsold Model-D in 2020 $= 0.10 \times 440,000 = 44,000$ laptops

5. Calculate Total Unsold Model-D Laptops over 2019 and 2020:

To find the total number of unsold Model-D laptops over the two years, we add the unsold numbers from each year.

Total Unsold Model-D $= $ Unsold Model-D in 2019 $+$ Unsold Model-D in 2020

Total Unsold Model-D $= 35,000 + 44,000 = 79,000$ laptops

Therefore, a total of 79,000 Model-D laptops remained unsold over the two years.

Revision Table for Laptop Production Analysis

Additional Information on Data Interpretation

Data Interpretation questions often involve analyzing tables, charts, or graphs to extract relevant information and perform calculations. This particular question requires us to interpret percentage distribution and apply it to given total values.

• Understanding percentages is crucial. A percentage represents a part of a whole, where the whole is considered as 100%. To calculate a percentage of a number, you can convert the percentage to a decimal (divide by 100) and multiply by the number.
• Pay close attention to the units (like 'lakhs') and convert them to standard numerical form if needed for calculations. 1 lakh = 100,000.
• When dealing with sales and unsold items, if a certain percentage is sold, the remaining percentage (100% minus sold percentage) is unsold.
• For problems involving multiple years or categories, calculate the required value for each year/category separately and then sum them up if the question asks for a total over all years/categories.

Practicing with different types of data representations like bar graphs, pie charts, and line graphs, along with tables, will improve your data interpretation skills for exams.