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In an irrigation project, in a certain year, 70% and 46% of the culturable command area in Kharif and Rabi, respectively, remained without water and the rest of the area got irrigation water. The intensity of irrigation in that year for the project was
  • a)
    116%
  • b)
    84%
  • c)
    42%
  • d)
    58%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In an irrigation project, in a certain year, 70% and 46% of the cultu...
The annual intensity of irrigation is the sum of total intensities of irrigation of all the seasons of the year
= Intensity in Rabi + Intensity in Kharif
= (100-46) + (100-70)
= 84%
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Most Upvoted Answer
In an irrigation project, in a certain year, 70% and 46% of the cultu...
Given:
- In a certain year, 70% of the culturable command area remained without water in Kharif season.
- In the same year, 46% of the culturable command area remained without water in Rabi season.
- The rest of the area received irrigation water.

To Find:
The intensity of irrigation in that year for the project.

Solution:
To find the intensity of irrigation, we need to determine the percentage of the culturable command area that received irrigation water.

Step 1: Find the percentage of the culturable command area without water in each season:
- In Kharif season, 70% of the culturable command area remained without water.
- In Rabi season, 46% of the culturable command area remained without water.

Step 2: Find the percentage of the culturable command area with water in each season:
- In Kharif season, the percentage of the culturable command area with water is 100% - 70% = 30%.
- In Rabi season, the percentage of the culturable command area with water is 100% - 46% = 54%.

Step 3: Calculate the overall percentage of the culturable command area with water:
- Since the rest of the area (100% - 30% = 70%) received irrigation water in Kharif season,
the percentage of the culturable command area with water after Kharif season = 30% + 70% = 100%.
- Since the rest of the area (100% - 54% = 46%) received irrigation water in Rabi season,
the percentage of the culturable command area with water after Rabi season = 54% + 46% = 100%.

Step 4: Calculate the intensity of irrigation:
- The intensity of irrigation is the percentage of the culturable command area with water divided by the total area.
- Since 100% of the culturable command area received irrigation water after both Kharif and Rabi seasons,
the intensity of irrigation = 100% / 100% = 1.
- Multiplying by 100 to convert it into a percentage, we get the intensity of irrigation as 100%.

Therefore, the correct answer is option 'B' - 84%.
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Community Answer
In an irrigation project, in a certain year, 70% and 46% of the cultu...
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In an irrigation project, in a certain year, 70% and 46% of the culturable command area in Kharif and Rabi, respectively, remained without water and the rest of the area got irrigation water. The intensity of irrigation in that year for the project wasa)116%b)84%c)42%d)58%Correct answer is option 'B'. Can you explain this answer?
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