Rectangular Field — Cost to Grass Bed ⇒ Area ⇒ Length: Breadth is 25 m. Total cost for grass at ₹15 per m^2 is ₹12375. Find the length of the field (in metres).

Introduction / Context:
Unit pricing per square metre allows recovery of area from total cost. With one dimension known, the other follows from area = length * breadth. Keeping currency and unit conversions straight is essential.

Given Data / Assumptions:

• Breadth B = 25 m
• Total cost = ₹12375; rate = ₹15 per m^2
• Area A = cost / rate

Concept / Approach:
Compute area from cost and rate. Then length L = A / B. The rectangular field is assumed to be exactly covered (no wastage) and charged purely by area.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 27, 30, 32, 36 yield areas not equal to 825 m^2 with breadth 25 m.

Common Pitfalls:

• Dividing by rate instead of multiplying, or using breadth as 20/30 in error.

Final Answer:
33 m.