Solid state is considerably faster. Starting up the computer, opening files, opening programs, etc. will be much faster. Basically anything that reads from the hard disk will happen faster. Browsing the internet, watching videos etc will not be improved though. What do you generally want the laptop for?
However, if you were buying the parts themselves, a 256GB solid state won't cost you CHF300 more than a 750GB mechanical drive. CHF300 is quite a steep price differential.
For example, checking digitec.ch, you can get a 750GB 2.5" (laptop) mechanical drive for CHF125. A 256GB 2.5" sold state drive goes for anywhere between CHF300 and CHF550 (there is a lot of variety in these drives, an average one seems to be CHF379). Assuming that Dell is not using a top of the line sold state drive, then the price differential is a bit too much.
But it all depends on what you want to use the laptop for! Let me know your needs, then I'll tell you whether a solid state will help satisfy them...