Calculating Mobile Phone Production Difference

This question asks us to find the difference in the number of Model-C mobile phones produced in the years 2021 and 2022, based on the provided percentage distribution data and total production figures.

Understanding the Mobile Phone Production Data

We are given the following information:

• Total mobile phones produced in 2021: 4,50,000
• Total mobile phones produced in 2022: 5,20,000
• A table showing the percentage distribution of production across five models (A, B, C, D, E) for each year.

Let's look at the distribution data for Model-C mobile phones:

• Percentage of Model-C production in 2021: 30%
• Percentage of Model-C production in 2022: 25%

Calculating Model-C Production in Each Year

To find the number of Model-C mobile phones produced in each year, we need to calculate the specified percentage of the total production for that year.

Model-C Production in 2021

Total production in 2021 was 4,50,000 phones. Model-C accounted for 30% of this total.

Number of Model-C phones in 2021 $= 30\% \text{ of } 4,50,000$

This can be calculated as:

$\text{Number of Model-C phones in 2021} = \frac{30}{100} \times 4,50,000$

$\text{Number of Model-C phones in 2021} = 0.30 \times 4,50,000$

$\text{Number of Model-C phones in 2021} = 1,35,000$

So, 1,35,000 Model-C mobile phones were produced in 2021.

Model-C Production in 2022

Total production in 2022 was 5,20,000 phones. Model-C accounted for 25% of this total.

Number of Model-C phones in 2022 $= 25\% \text{ of } 5,20,000$

This can be calculated as:

$\text{Number of Model-C phones in 2022} = \frac{25}{100} \times 5,20,000$

$\text{Number of Model-C phones in 2022} = 0.25 \times 5,20,000$

$\text{Number of Model-C phones in 2022} = 1,30,000$

So, 1,30,000 Model-C mobile phones were produced in 2022.

Finding the Difference in Model-C Production

The question asks for the difference between the number of Model-C phones produced in 2021 and 2022. We subtract the smaller number from the larger number to find the absolute difference.

Difference = (Number of Model-C phones in 2021) - (Number of Model-C phones in 2022)

Difference $= 1,35,000 - 1,30,000$

Difference $= 5,000$

The difference in the production of Model-C mobile phones between 2021 and 2022 is 5,000.

Summary of Calculation Steps:

1. Identify the total production for each year (2021 and 2022).
2. Identify the percentage of Model-C production for each year from the table.
3. Calculate the number of Model-C phones produced in 2021 by multiplying the total production of 2021 by the percentage for Model-C in 2021.
4. Calculate the number of Model-C phones produced in 2022 by multiplying the total production of 2022 by the percentage for Model-C in 2022.
5. Subtract the number of Model-C phones produced in 2022 from the number produced in 2021 to find the difference.

The final answer is 5,000.

Revision Table: Mobile Phone Production Analysis

Additional Information: Data Interpretation Tips

Data interpretation questions often involve analyzing tables, charts, or graphs to extract information and perform calculations. Here are some tips:

• Read the Question Carefully: Understand exactly what is being asked. Look for keywords like 'difference', 'ratio', 'average', 'percentage increase/decrease'.
• Understand the Data Source: Look at the title of the table/chart, the labels on rows, columns, and axes. Understand what the numbers or percentages represent.
• Note Totals: Pay attention to total values, as these are often used as the base for percentage calculations.
• Break Down the Problem: For questions involving multiple steps (like this one, where you calculate production for each year first), break down the problem into smaller, manageable steps.
• Be Careful with Percentages: Remember that percentages are fractions out of 100. To find a percentage of a number, convert the percentage to a decimal or fraction and multiply. For example, 25% is 0.25 or 25/100.
• Perform Calculations Accurately: Use the correct formulas and be careful with arithmetic, especially with large numbers.

Practicing with different types of data representation will help improve your data interpretation skills.