The length and breadth of a rectangular field are in the ratio $5 : 3$. If the cost of cultivating the field at $25$ paise per square metre is Rs. $6000$, find the perimeter of the field.

Since 25 paise is Rs. 0.25, the field's area is 6000 divided by 0.25, which equals 24000 square meters. The length and breadth are 5x and 3x, so 15x squared equals 24000, making x squared equal to 1600 and x equal to 40. The dimensions are 200 m by 120 m, so the rectangle's perimeter formula gives 2 times the sum of 200 and 120, which is 640 m.

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