Square Field — From Cultivation Cost to Fence Cost: The cost of cultivating a square field at ₹135 per hectare is ₹1215. Find the cost of fencing it at ₹0.75 per metre.

Introduction / Context:
This problem connects unit-rate costing with geometry. We infer the area from cultivation cost per hectare, convert hectares to square metres, get the side length of the square, compute perimeter, and finally compute fencing cost per metre.

Given Data / Assumptions:

• Cultivation rate = ₹135 per hectare
• Total cultivation cost = ₹1215
• 1 hectare = 10000 m^2
• Fencing rate = ₹0.75 per metre

Concept / Approach:
Area (hectares) = total cost / rate. Convert to m^2. For a square, side = √area; perimeter = 4 * side. Multiply perimeter by fencing rate to get the required cost. Keep units consistent throughout conversions.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• ₹360, ₹810, ₹675 underestimate perimeter or misuse units.
• ₹1800 doubles the correct value (likely treating rate as ₹1.5/m).

Common Pitfalls:

• Forgetting the hectare-to-m^2 conversion (10000).
• Confusing area with perimeter when applying the fencing rate.

Final Answer:
₹ 900.