Understanding Wheat Production Distribution

This question asks us to calculate the percentage difference in wheat production between two specific scenarios based on the provided table. We need to compare the wheat production in India using the Scientific Method with the wheat production in Pakistan using the Conventional Method. The total wheat production across all seven countries is given as 50 lakh tonnes.

Analyzing the Data Table

The table provides the following information:

Calculating Wheat Production in India by Scientific Method

First, let's find out India's total wheat production. India accounts for 18% of the total 50 lakh tonnes.

India's Total Production = 18% of 50 lakh tonnes
India's Total Production = \(\frac{18}{100} \times 50 \text{ lakh tonnes}\)
India's Total Production = \(0.18 \times 50 \text{ lakh tonnes} = 9 \text{ lakh tonnes}\)

Now, we find the production by the Scientific Method in India, which is 32% of India's total production.

India's Scientific Production = 32% of India's Total Production
India's Scientific Production = 32% of 9 lakh tonnes
India's Scientific Production = \(\frac{32}{100} \times 9 \text{ lakh tonnes}\)
India's Scientific Production = \(0.32 \times 9 \text{ lakh tonnes} = 2.88 \text{ lakh tonnes}\)

Calculating Wheat Production in Pakistan by Conventional Method

Next, let's find out Pakistan's total wheat production. Pakistan accounts for 9% of the total 50 lakh tonnes.

Pakistan's Total Production = 9% of 50 lakh tonnes
Pakistan's Total Production = \(\frac{9}{100} \times 50 \text{ lakh tonnes}\)
Pakistan's Total Production = \(0.09 \times 50 \text{ lakh tonnes} = 4.5 \text{ lakh tonnes}\)

Now, we find the production by the Conventional Method in Pakistan, which is 34% of Pakistan's total production.

Pakistan's Conventional Production = 34% of Pakistan's Total Production
Pakistan's Conventional Production = 34% of 4.5 lakh tonnes
Pakistan's Conventional Production = \(\frac{34}{100} \times 4.5 \text{ lakh tonnes}\)
Pakistan's Conventional Production = \(0.34 \times 4.5 \text{ lakh tonnes} = 1.53 \text{ lakh tonnes}\)

Calculating the Percentage More

The question asks by what percentage India's Scientific Production is more than Pakistan's Conventional Production. This means we need to calculate the difference and express it as a percentage of Pakistan's Conventional Production.

• India's Scientific Production = 2.88 lakh tonnes
• Pakistan's Conventional Production = 1.53 lakh tonnes

Difference = India's Scientific Production - Pakistan's Conventional Production
Difference = \(2.88 \text{ lakh tonnes} - 1.53 \text{ lakh tonnes} = 1.35 \text{ lakh tonnes}\)

Percentage More = \(\frac{\text{Difference}}{\text{Pakistan's Conventional Production}} \times 100\)
Percentage More = \(\frac{1.35}{1.53} \times 100\)

Let's calculate the value:
\(\frac{1.35}{1.53} \times 100 \approx 0.88235 \times 100 \approx 88.235\)

Rounding to two decimal places, we get approximately 88.24%.

Conclusion

The production of wheat in India by the Scientific Method is approximately 88.24% more than the production of wheat in Pakistan by the Conventional Method.

Revision Table: Key Calculations

Additional Information: Data Interpretation Tips

Data interpretation questions require careful reading and calculation based on the provided charts or tables. Here are some tips:

• Always understand the units and the base value (e.g., total production).
• Pay close attention to percentages - whether they are percentages of the total grand value or percentages within a specific category.
• Identify exactly what is being asked - is it an absolute difference, a percentage of the total, or a percentage increase/decrease relative to a specific value?
• Break down the problem into smaller steps, calculating intermediate values before the final answer.
• Use formulas for percentages correctly, especially for percentage increase/decrease. The formula for percentage increase from value A to value B is \(\frac{(B-A)}{A} \times 100\). In this case, A is Pakistan's Conventional Production and B is India's Scientific Production.
• Double-check your calculations, especially when dealing with multiple percentages.