Data Interpretation Solution: Calculating Product Differences

The question asks us to find the difference between the total number of products produced by company A and B together, and the total number of products produced by company D. We are given the total number of products across all companies (8 lakhs) and the percentage distribution of this total for each company.

Understanding the Given Data

The table provides several pieces of information, but for this specific question, we only need the total production figure and the percentage distribution for companies A, B, and D.

Total number of products (P + Q) produced by all companies combined is 8 lakhs.

Step-by-Step Calculation

Let's calculate the total number of products for each required company based on their percentage distribution of the total 8 lakhs.

Step 1: Calculate Total Products for Company A

Company A produces 24% of the total products.

Total products by Company A = 24% of 8 lakhs

Using LaTeX: Total products by A $= \frac{24}{100} \times 8,00,000 = 0.24 \times 8,00,000 = 1,92,000$

So, Company A produces 1.92 lakh products.

Step 2: Calculate Total Products for Company B

Company B produces 18% of the total products.

Total products by Company B = 18% of 8 lakhs

Using LaTeX: Total products by B $= \frac{18}{100} \times 8,00,000 = 0.18 \times 8,00,000 = 1,44,000$

So, Company B produces 1.44 lakh products.

Step 3: Calculate Total Products for Company A and B Together

To find the total products for A and B together, we add the products from Step 1 and Step 2.

Total products by A and B together = Total products by A + Total products by B

Using LaTeX: Total products by A and B $= 1,92,000 + 1,44,000 = 3,36,000$

Alternatively, we can add the percentages first: (24% + 18%) = 42%.

Using LaTeX: Total products by A and B $= \frac{42}{100} \times 8,00,000 = 0.42 \times 8,00,000 = 3,36,000$

So, Company A and B together produce 3.36 lakh products.

Step 4: Calculate Total Products for Company D

Company D produces 28% of the total products.

Total products by Company D = 28% of 8 lakhs

Using LaTeX: Total products by D $= \frac{28}{100} \times 8,00,000 = 0.28 \times 8,00,000 = 2,24,000$

So, Company D produces 2.24 lakh products.

Step 5: Calculate the Difference

We need to find the difference between the total products of (A + B) and the total products of D.

Difference = |(Total products by A and B) - (Total products by D)|

Using LaTeX: Difference $= |3,36,000 - 2,24,000| = |1,12,000|$

Difference $= 1,12,000$

The difference is 1.12 lakh products.

Conclusion

The difference between the total number of products produced by company A and B together and by the company D is 1.12 lakh.

Revision Table: Product Distribution Calculation

Additional Information: Data Interpretation Skills

Data interpretation questions like this require careful reading of the table and the question. It's important to identify exactly which pieces of data are relevant and perform calculations accurately. This question only needed the percentage distribution of total products and the overall total, ignoring the ratio and sale percentages for this specific calculation. Practice with different types of data representation (tables, charts, graphs) and questions helps improve speed and accuracy.

• Always identify the base value (the total amount).
• Understand what each percentage or ratio represents.
• Break down complex questions into smaller, manageable steps.
• Double-check calculations.