A farmer wants to produce 2000 quintals of millet. He has two options: (i) a high‑yield variety giving 8 quintals per hectare; (ii) a conventional variety giving 5 quintals per hectare. (a) Compute the hectares required for each option. (b) Calculate the land saved by using the high‑yield variety. (c) Why is land saving beneficial?
Answer
(a) 250 ha and 400 ha; (b) 150 ha saved; (c) Reduces soil erosion and allows cultivation of other crops
The correct answer is (a) 250 ha and 400 ha; (b) 150 ha saved; (c) Reduces soil erosion and allows cultivation of other crops — Step 4: Explain benefit: Fewer hectares mean less soil disturbance, lower erosion risk and more land for other crops or ecological restoration.
Step-by-step solution
- Step 1: For high‑yield variety, divide required production by yield per hectare: ha.
- Step 2: For conventional variety: ha.
- Step 3: Find land saved: ha.
- Step 4: Explain benefit: Fewer hectares mean less soil disturbance, lower erosion risk and more land for other crops or ecological restoration.
Common mistake: Dividing area by yield instead of yield by area.
Concept tested: Land‑use efficiency through high‑yield varieties
Published · How this solution was prepared and checked
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