Understanding Wheat Production Data

The question asks us to find the difference in wheat production between the Scientific Method and the Conventional Method specifically for Indonesia. We are given a table showing the percentage distribution of wheat production across seven countries and also the percentage distribution within each country for Scientific and Conventional methods. The total wheat production across all seven countries is 50 lakh tonnes.

Analyzing the Provided Table

Let's first look at the table structure and the relevant data for Indonesia.

From the table, we can extract the following information for Indonesia:

• Percentage share of Indonesia in total wheat production: 10%
• Percentage of wheat production by Scientific Method in Indonesia: 73%
• Percentage of wheat production by Conventional Method in Indonesia: 27%

Calculating Wheat Production in Indonesia

The total wheat production across all countries is 50 lakh tonnes. Indonesia accounts for 10% of this total production.

Total production in Indonesia = (Percentage share of Indonesia / 100) $\times$ Total production

Total production in Indonesia = $\left(\frac{10}{100}\right) \times 50 \text{ lakh tonnes}$

Total production in Indonesia = $0.10 \times 50 \text{ lakh tonnes}$

Total production in Indonesia = $5 \text{ lakh tonnes}$

Calculating Production by Each Method in Indonesia

Now we need to find out how much of this 5 lakh tonnes is produced by the Scientific Method and how much by the Conventional Method.

Production by Scientific Method in Indonesia

Percentage by Scientific Method = 73%

Production by Scientific Method = (Percentage by Scientific Method / 100) $\times$ Total production in Indonesia

Production by Scientific Method = $\left(\frac{73}{100}\right) \times 5 \text{ lakh tonnes}$

Production by Scientific Method = $0.73 \times 5 \text{ lakh tonnes}$

Production by Scientific Method = $3.65 \text{ lakh tonnes}$

Production by Conventional Method in Indonesia

Percentage by Conventional Method = 27%

Production by Conventional Method = (Percentage by Conventional Method / 100) $\times$ Total production in Indonesia

Production by Conventional Method = $\left(\frac{27}{100}\right) \times 5 \text{ lakh tonnes}$

Production by Conventional Method = $0.27 \times 5 \text{ lakh tonnes}$

Production by Conventional Method = $1.35 \text{ lakh tonnes}$

Calculating the Difference

The difference between the production of wheat by the Scientific Method and the Conventional Method in Indonesia is:

Difference = Production by Scientific Method - Production by Conventional Method

Difference = $3.65 \text{ lakh tonnes} - 1.35 \text{ lakh tonnes}$

Difference = $2.30 \text{ lakh tonnes}$

Alternative Method: Using Percentage Difference

We can also first find the percentage difference between the two methods in Indonesia and then calculate the corresponding production value.

Percentage difference = Percentage by Scientific Method - Percentage by Conventional Method

Percentage difference = $73\% - 27\%$

Percentage difference = $46\%$

Now, calculate 46% of Indonesia's total production (5 lakh tonnes).

Difference in production = (Percentage difference / 100) $\times$ Total production in Indonesia

Difference in production = $\left(\frac{46}{100}\right) \times 5 \text{ lakh tonnes}$

Difference in production = $0.46 \times 5 \text{ lakh tonnes}$

Difference in production = $2.3 \text{ lakh tonnes}$

Both methods yield the same result.

Final Answer

The difference between the production of wheat by the Scientific Method and the Conventional Method in Indonesia is 2.3 lakh tonnes.

Revision Table: Wheat Production Calculation

Additional Information: Data Interpretation Skills

This problem is a typical example of data interpretation from tables. To solve such problems effectively, consider the following points:

• Understand the Table: Read the headings and captions carefully to understand what data is presented in each column and row. Note the units (percentages, lakh tonnes, etc.).
• Identify the Goal: Clearly understand what the question is asking. In this case, it's a difference in production for a specific country and method.
• Extract Relevant Data: Filter out the information that is not needed for the specific question. For this problem, only the rows for Indonesia and the total production value are directly relevant initially.
• Perform Calculations Step-by-Step: Break down the problem into smaller, manageable steps. Calculate intermediate values (like total production in Indonesia) before finding the final answer (the difference).
• Percentage Calculations: Be comfortable calculating percentages of given values. Remember that X% of Y is $(\text{X}/100) \times \text{Y}$.
• Units: Pay attention to units throughout the calculation and ensure the final answer is in the required unit (lakh tonnes in this case).

Practice with different types of tables and charts (like bar graphs, pie charts, line graphs) to improve data interpretation skills, which are crucial for many competitive exams.