Question: Find the cost of levelling a path of width 3 m which is laid inside of a rectangular field of measure $ 100\times 80m $ at the rate of Rs. 500 per $ m^{2}. $
Options:
A) Rs. 5180
B) Rs. 5220
C) Rs. 5160
D) Rs. 5260
Show Answer
Answer:
Correct Answer: B
Solution:
- Area of the rectangular field $ =100\times 80=8000m^{2} $
Area of the field without path
$ =(100-2\times 3)(80-2\times 3) $
$ =94\times 74=6956m^{2} $
Area of path $ =8000-6956=1044m^{2} $
Since, the rate of the cost of leveling is $ 5/m^{2}. $
$ \therefore $ The total cost of levelling $ =1044\times 5=5220 $