Hi Rik
Considering your experience, I believe you have a silver solder.
The big clue to me is the yellow tip, only one that I know colour coded the tip of their rods. They only sold it in two sizes, 1/16 and 3/32 inch.
It identifies the probable supplier (and to me the manufacturer – UK) and also the alloy.
I would suggest that you are wasting your time involving a " jeweller who buys gold and silver". Why anyone would is beyond me – talk to a bullion dealer. You will get a much better price. Typically,a bullion dealer will give you 90% of the silver value less the cost of refining your package.
But I believe that you can use it successfully.
Regards
Keith
In my days when I was selling the stuff, would I have bought it from you? No.