The correct answer is C) the difference in the amount of cargo loaded and the amount of cargo booked, through no fault of the vessel. Dead freight refers to the charge levied by a carrier for the unused capacity or space on a vessel when the actual amount of cargo loaded is less than the amount originally booked. This occurs through no fault of the carrier, such as the shipper failing to provide the full contracted cargo quantity. The carrier is entitled to recover this lost revenue through the dead freight charge, as they have reserved the space and capacity for the booked cargo. The other options are incorrect as they do not accurately describe the definition of dead freight. Option A refers to cargo carried under a demise charter, which is a different concept. Option B is related to the costs of transshipping over-carried cargo, not the charges for unused capacity. Option D describes the difference between loaded and discharged cargo, which is not the same as the difference between booked and loaded cargo.