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Can you fit 7J x 15 inch Revolution wheels running on 195/50 15 tyres to a TR7 without modifying or turning up the wheel arch lip at the rear ?

Yes, they fit, no trouble, provided you have the correct wheel offset.
We run 205 15s, on 7" rims, on a 3/8" wider rear axel, with the arches lipped on our 8.

The bad thing is, I can't remember what the offset is.

The good thing is, its been discussed on here a number of times. Try
a search, if no one comes up with the figure.

Hasbeen

Bear in mind the fact that on the avarage TR7 body the rear axle sits slightly off centre (to the right)
At least the 4 cars I checked at home have it.

My Sprint ('t Kreng) sits on 205/50 tyres on 7Jx15 Compomotive rims and it scrapes the RH rear arche slightly.
The DHC is on 195/55 tyres on 7Jx15 Revolution rims and the same here
Both rims have the same ET (25 mm)

I had the Revolutions on t'Kreng before with 195/50 tyres without problems

<center>
<font color="blue"><i>1981 TR7 FHC Sprint (better known as 't Kreng)
1981 TR7 DHC (not very well known yet, but back on the road)
Also a 1980 TR7 DHC, 1980 TR7 DHC FI, 1981 TR7 FHC
http://tr7beans.blogspot.com/</i></font id="blue"></center>

I have 8x15s on the back of mine.

The lip had to be removed from the arch but you cannot see any external mods.
Tyre size is 225x50x15

5.0 litre TVR Powered

I've got 195/55/15s on mine using wheel adapters,they are 5-spoke stock Acura GS rims,love the look and fit. Turning radious isn't quite as good as with the 13 inchers,but these give the car a whole new look.