Let’s assume the breadth of the rectangular field is x meters. According to the given information, the length of the field is twice its breadth, so the length would be 2x meters. The area of the field is given as 2 hectares, which is equal to 20000 square meters (1 hectare = 10000 square meters). The area of a rectangle is given by the formula: length * breadth. So, we have the equation: 2x * x = 20000. Simplifying this equation, we get: 2x^2 = 20000. Dividing both sides by 2, we get: x^2 = 10000. Taking the square root of both sides, we get: x = 100. So, the breadth of the field is 100 meters and the length is 2 * 100 = 200 meters. The perimeter of a rectangle is given by the formula: 2 * (length + breadth). So, the perimeter of this field would be: 2 * (200 + 100) = 2 * 300 = 600 meters. The cost of fencing the field at ₹ 50.00 per meter would be: 600 * ₹ 50.00 = ₹ 30000.00. Answer: \boxed{₹ 30000.00}.

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