The cost of cultivating a square field at the rate of Rs. 685 per hector is Rs. 6165. The cost of putting a fence around it at the rate of Rs. 48.75 per metre would be :
Options:
A . Rs. 23400
B . Rs. 52650
C . Rs. 58500
D . Rs. 117000
Answer: Option C $$\eqalign{ & {\text{Area}} = \frac{{{\text{Total cost}}}}{{{\text{Rate}}}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {\frac{{6165}}{{685}}} \right){\text{hectares}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {9 \times 10000} \right){m^2} \cr} $$ ∴ Side of the square : $$\eqalign{ & = \sqrt {90000} \,m \cr & = 300\,m \cr} $$ Perimeter of the field = (300 × 4) m = 1200 m Cost of fencing = Rs. (1200 × 48.75) = Rs. 58500
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