Question:
The cost of harvesting a square field at ₹900 per hectare is ₹8100. Find the cost of putting a fence around it at ₹18 per metre.
Solution:
As, the rate of the harvesting $=$ ₹ 900 per hectare
And, the cost of harvesting $=₹ 8100$
So, the area of the square field $=\frac{8100}{900}=9$ hectare
$\Rightarrow$ the area $=90000 \mathrm{~m}^{2} \quad\left(\right.$ As, 1 hectare $\left.=10000 \mathrm{~m}^{2}\right)$
$\Rightarrow(\text { side })^{2}=90000$
$\Rightarrow$ side $=\sqrt{90000}$
So, side $=300 \mathrm{~m}$
Now, perimeter of the field $=4 \times$ side
$=4 \times 300$
$=1200 \mathrm{~m}$
Since, the rate of putting the fence $=₹ 18$ per $\mathrm{m}$
So, the cost of putting the fence $=1200 \times 18=₹ 21,600$