The total production of crops in a year occured 2,50,000 tonne. In the following pie chart, the percentage of production of various crops is given.
Which of the following is the production of other crops (in tonnes)?}
Show Hint
Multiplying by 25 is equivalent to dividing by 4 and appending zeros. So, \(37 \times 2500 = \frac{37}{4} \times 10,000 = 9.25 \times 10,000 = 92,500\). This simplifies the final calculation significantly!
• Step 1: Understanding the Question: This question is based on Data Interpretation using a pie chart. We are given the total production of crops and the individual percentages of specific crops. We need to find the percentage of "Other crops" first, and then calculate its equivalent weight in tonnes.
• Step 2: Key Formula or Approach:
1. A complete pie chart represents 100% of the total.
2. Therefore:
\[ \text{Percentage of Other crops} = 100\% - \sum (\text{Percentages of all known crops}) \]
3. Weight of other crops = \(\text{Percentage of Other crops} \times \text{Total Production} \)
• Step 3: Detailed Explanation:
- Let us sum the percentages of the given crops from the chart:
- Sugarcane = 9%
- Rice = 23%
- Pulse = 18%
- Wheat = 13%
Sum of these known percentages:
\[ \text{Sum} = 9\% + 23\% + 18\% + 13\% = 63\% \]
- Now, let us calculate the percentage of "Other crops":
\[ \text{Other crops \%} = 100\% - 63\% = 37\% \]
- Given that the total crop production is 2,50,000 tonnes:
The production of other crops is:
\[ \text{Production} = \frac{37}{100} \times 2,50,000 \]
\[ \text{Production} = 37 \times 2,500 \]
\[ \text{Production} = 92,500 \text{ tonnes} \]
• Step 4: Final Answer: The production of other crops is 92,500 tonnes, which is option (C).
