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).
Aptitude
Area
Difficulty: Easy
Choose an option
-
A27 m
-
B30 m
-
C33 m
-
D32 m
-
E36 m
Answer
Correct Answer: 33 m
Explanation
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:
A = 12375 / 15 = 825 m^2.L = 825 / 25 = 33 m.Therefore, the length is 33 m.Verification / Alternative check:
Area check: 33 * 25 = 825 m^2.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.