Analyzing Mobile Phone Production Data

The question provides a table showing the percentage distribution of five different models (A, B, C, D, E) of mobile phones produced by a company over two years, 2021 and 2022. We are also given the total number of mobile phones produced in each year.

• Total production in 2021: 4,50,000 phones
• Total production in 2022: 5,20,000 phones

The table shows the percentage break-up for each model:

Calculating Model A Production in 2021

First, let's find the actual number of Model A mobile phones produced in 2021. We know that 15% of the total production in 2021 was Model A.

Total production in 2021 = 4,50,000

Percentage of Model A in 2021 = 15%

Number of Model A phones produced in 2021 $= 15\%$ of $4,50,000$

Number of Model A phones produced in 2021 $= \frac{15}{100} \times 4,50,000$

Number of Model A phones produced in 2021 $= 15 \times 4500$

Number of Model A phones produced in 2021 $= 67,500$

Hypothetical Scenario for 2022 Production

The question asks us to consider a hypothetical situation where the number of Model A mobile phones produced in 2022 was the same as the number produced in 2021. This means, in the hypothetical scenario, the number of Model A phones in 2022 is 67,500.

Calculating Approximate Percentage Share in 2022 (Hypothetical)

Now, we need to find the approximate percentage share of these 67,500 Model A phones in the total production of 2022. The total production in 2022 was 5,20,000.

Hypothetical number of Model A phones in 2022 = 67,500

Total production in 2022 = 5,20,000

Hypothetical percentage share of Model A in 2022 production $= \frac{\text{Hypothetical number of Model A in 2022}}{\text{Total production in 2022}} \times 100\%$

Hypothetical percentage share of Model A in 2022 production $= \frac{67,500}{5,20,000} \times 100\%$

Let's simplify the calculation:

Percentage share $= \frac{675}{5200} \times 100\%$

Percentage share $= \frac{675}{52} \%$

Now, we perform the division:

$\frac{675}{52} \approx 12.98$

The approximate percentage share is approximately 12.98%.

Approximating the Result

The options provided are integers. We need to find the closest integer to 12.98%.

• 11% is far from 12.98%
• 13% is very close to 12.98%
• 15% is far from 12.98%
• 9% is far from 12.98%

The closest approximation to 12.98% is 13%.

Therefore, if the number of Model-A mobile phones produced by the company in 2022 was the same as that in 2021, its approximate percentage share in the total production of 2022 would have been 13%.

Revision Table: Mobile Phone Production Analysis

Additional Information: Data Interpretation Basics

Data interpretation questions require careful reading of the provided information, often in the form of tables, charts, or graphs. The key steps usually involve:

• Understanding the context and the data presented.
• Identifying what is being asked in the question.
• Extracting the relevant data points from the table or chart.
• Performing necessary calculations (percentages, ratios, averages, etc.).
• Paying attention to specific conditions or hypothetical scenarios mentioned in the question.
• Approximating the result if required and choosing the closest option.

In this problem, we had to calculate an absolute number from a percentage and a total, and then use that absolute number to find a new percentage relative to a different total production figure.