A radiometric measuring device for mounting at a container fillable with a filling substance. The measuring device, which is cost-favorable both in installation and operation, includes: A radioactive source, which, during operation, sends radioactive radiation through the container; at least two detectors, which serve for registering radiation passing through the container and for producing electrical pulse rates corresponding to the registered radiation; wherein the detectors are connected together and with a superordinated unit by a single line running outside of the detectors. The pulse rates and, in the form of offsets, status of the detectors are transmitted on the single line.