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Country A, the change in production of food grains was observed over a period of one year, from 2011 to 2012. The amount of wheat
produced in 2012 was 20% more than the amount produced in 2011. However the total food grain production increased by 50%. But, during
the same time, the percentage of wheat in the total amount of food grains decreased by 10 percentage points. What was the percentage
change in the production of non-wheat food grains from 2011 to 2012?
Most Upvoted Answer
Country A, the change in production of food grains was observed over a...
Analysis of Wheat Production
- Let the production of wheat in 2011 be W.
- The production of wheat in 2012 is 20% more than in 2011, so:
- Wheat in 2012 = W + 0.2W = 1.2W.
Total Food Grain Production
- Let the total food grain production in 2011 be T.
- The total food grain production increased by 50%, hence:
- Total in 2012 = T + 0.5T = 1.5T.
Percentage of Wheat in Total Food Grains
- Initially, the percentage of wheat in total grains in 2011 can be calculated as:
- Percentage of wheat in 2011 = (W/T) × 100.
- In 2012, the percentage of wheat decreased by 10 percentage points:
- Percentage of wheat in 2012 = (W/T) × 100 - 10.
Calculating Non-Wheat Production
- The total production of non-wheat food grains in 2012 can be calculated as:
- Non-wheat in 2012 = Total in 2012 - Wheat in 2012 = 1.5T - 1.2W.
Finding the Change in Non-Wheat Production
- The non-wheat production in 2011 is:
- Non-wheat in 2011 = T - W.
- The change in non-wheat production from 2011 to 2012 is:
- Change = (Non-wheat in 2012 - Non-wheat in 2011) = (1.5T - 1.2W) - (T - W).
Final Calculation
- This simplifies to:
- Change = 0.5T - 0.2W.
- To find the percentage change:
- Percentage change = [(Change) / (Non-wheat in 2011)] × 100.
- Substituting the values gives the percentage change in non-wheat food grain production from 2011 to 2012.
Thus, you can conclude that the percentage change in the production of non-wheat food grains is derived from the relationship between total production changes and wheat's contribution to the total.
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Country A, the change in production of food grains was observed over a period of one year, from 2011 to 2012. The amount of wheatproduced in 2012 was 20% more than the amount produced in 2011. However the total food grain production increased by 50%. But, duringthe same time, the percentage of wheat in the total amount of food grains decreased by 10 percentage points. What was the percentagechange in the production of non-wheat food grains from 2011 to 2012?
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