That manual I've linked there is for the 10T502 series; I found it before you posted the revised numbers.

A useful B&S site for searching these manuals is http://bsintek.basco.com/MDEXResultsPages/default.aspx
It allows searching by model number only, which can be handy in cases like this.

But it can't find a 10T604 model...

Anyway, this is the English IPL it finds for the 10T602, which covers all of the 10T600 series:
http://bsintek.basco.com/MDEXResultsPages/PDFDisplayPage.aspx?fileName=18ktxIXUnfBhU7y

Sure enough, they all use the 795475 carby. The 10T502's use the 795477.

The ODK Shop has genuine replacements for under $30 HERE

That's the way I'd go. It sounds very like the shop monkeys have lost the jet, as well as the governor spring. mad

I would make a point of telling the owner why you had to get a complete replacement carby, too!

Cheers,
Gadge

"ODK Mods can explain it to you, but they can't understand it for you..."

"Crazy can be medicated, ignorance can be educated - but there is no cure for stupid..."