I don't think the addition of sugar makes the final gravity lower. Fruit ain't grain, and fruit must ain't wort. All fruit sugars are more or less 100 percent fermentable, so you should expect the final gravity to be below 1.000 (the gravity of water) since alcohol is less dense than water. The addition of sugar will increase the potential ABV (alcohol by volume) as you have for all intents and purposes increased the STARTING specific gravity, not the final gravity.
Assuming that you are using an appropriate yeast (ie one that won't croak because of alcohol poisoning) then adding sugar after you have pitched the yeast simply means that you add the increase in SG to the starting SG to determine the potential ABV. ( 1 lb of sugar added to make 1 gallon of must will increase the gravity by about 40 points or 0.040 and 40 points of gravity will result in an increase of about 5% ABV)
If the OP knows the source of the juice (and if that juice was commercially made and sold ) then it is easy to figure out the sugar content (it will be on the label).
If the source was not labelled then you can likely assume that fruit juice at normal dilutions will have a gravity of about 1.045 - 1.050.
If we know the measured sugar content of the juice then we can calculate the starting gravity and if the OP knows the weight of the additional sugar that was added then we know the potential ABV and his/her hydrometer can then easily track where in the process the fermentation is ...