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