Thanks very much for your help. I'll give your Graphics card suggestion a go - hopefully that'll resolve the matter.
Actually, I've had it on for a couple hours and the monitor just went off again. However, the sun is shining into the room and onto the monitor (as I type its just gone again) and whereas previously it was completely black, I can now make out the screen features. I'm now thinking that if it was the Graphics card the screen features would either not be transmitted to the monitor or they would be fried. This is now making me think that perhaps it is the monitor. If I turn off monitor power and then back on the normal brightness is resumed. ???????What d'you think? I'll still probably get another card first anyway.