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In 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?
- a)40%
- b)80%
- c)60%
- d)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In country A, the change in production of food grains was observed ove...
Consider, wheat and grain produced in 2011 as x and 100 respectively.
Wheat and grains produced in 2012 becomes 1.2xand 150 respectively.
It is given that, during the same period, the percentage of wheat in the total amount of food grains decreased by 10 percentage points.
x = 50
Total non-wheat grains produced in 2011 = 100 - 50 = 50
Total non-wheat grains produced in 2012 = 150 - 1.2 x 50 = 90
Percentage change in non-wheat grains produced
Hence, option 2.
Wheat and grains produced in 2012 becomes 1.2xand 150 respectively.
It is given that, during the same period, the percentage of wheat in the total amount of food grains decreased by 10 percentage points.
x = 50
Total non-wheat grains produced in 2011 = 100 - 50 = 50
Total non-wheat grains produced in 2012 = 150 - 1.2 x 50 = 90
Percentage change in non-wheat grains produced
Hence, option 2.
Most Upvoted Answer
In country A, the change in production of food grains was observed ove...
Given Data:
- Wheat production in 2012 = 20% more than that in 2011
- Total food grain production in 2012 = 50% more than that in 2011
- Percentage of wheat in total food grains decreased by 10 percentage points
To find: Percentage change in the production of non-wheat food grains from 2011 to 2012
Solution:
Let's assume that in 2011, the total food grain production was 100 units and the percentage of wheat in it was 'p'. So, the amount of wheat produced in 2011 = p% of 100 = p units.
According to the given data, in 2012:
- Wheat production = 20% more than that in 2011 = p + 0.2p = 1.2p units
- Total food grain production = 50% more than that in 2011 = 100 + 0.5(100) = 150 units
- Percentage of wheat in total food grains decreased by 10 percentage points = p - 10%
So, the amount of wheat produced in 2012 = (p - 10%)% of 150 = (p - 10)/100 * 150 = 1.5p - 15 units
Now, we can find the production of non-wheat food grains in 2012 as follows:
Non-wheat food grain production in 2012 = Total food grain production in 2012 - Wheat production in 2012
= 150 - (1.5p - 15) = 165 - 1.5p units
The percentage change in the production of non-wheat food grains from 2011 to 2012 can be calculated as:
[(Non-wheat food grain production in 2012 - Non-wheat food grain production in 2011) / Non-wheat food grain production in 2011] * 100%
Since we don't have the data for non-wheat food grain production in 2011, we cannot calculate the percentage change. Hence, the answer is "Cannot be determined".
Therefore, option D is the correct answer.
- Wheat production in 2012 = 20% more than that in 2011
- Total food grain production in 2012 = 50% more than that in 2011
- Percentage of wheat in total food grains decreased by 10 percentage points
To find: Percentage change in the production of non-wheat food grains from 2011 to 2012
Solution:
Let's assume that in 2011, the total food grain production was 100 units and the percentage of wheat in it was 'p'. So, the amount of wheat produced in 2011 = p% of 100 = p units.
According to the given data, in 2012:
- Wheat production = 20% more than that in 2011 = p + 0.2p = 1.2p units
- Total food grain production = 50% more than that in 2011 = 100 + 0.5(100) = 150 units
- Percentage of wheat in total food grains decreased by 10 percentage points = p - 10%
So, the amount of wheat produced in 2012 = (p - 10%)% of 150 = (p - 10)/100 * 150 = 1.5p - 15 units
Now, we can find the production of non-wheat food grains in 2012 as follows:
Non-wheat food grain production in 2012 = Total food grain production in 2012 - Wheat production in 2012
= 150 - (1.5p - 15) = 165 - 1.5p units
The percentage change in the production of non-wheat food grains from 2011 to 2012 can be calculated as:
[(Non-wheat food grain production in 2012 - Non-wheat food grain production in 2011) / Non-wheat food grain production in 2011] * 100%
Since we don't have the data for non-wheat food grain production in 2011, we cannot calculate the percentage change. Hence, the answer is "Cannot be determined".
Therefore, option D is the correct answer.
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Community Answer
In country A, the change in production of food grains was observed ove...
(1.2w /1.5f)*100 -(w / f)*100 =10
Solving we get w / f = 1 / 2
F(11)=20 so F(30)....50% increase
remaining foodgrains would be 10 in 2011 and 18 in 2012
so 80% increase.
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In 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?a)40%b)80%c)60%d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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In 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?a)40%b)80%c)60%d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In 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?a)40%b)80%c)60%d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In 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?a)40%b)80%c)60%d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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