It said: "A 20.0 mL solution of 0.200M Na2SO4 is added to a 10.0mL water sample which contains the unknown concentration of BaCl2" so I would use 0.0100 L in that case as the 0.0200 L would be used only in finding the moles of Na2SO4.
Also, since there is only one Ba in BaCl2 then when I have the moles of BaCl2 then this would be the moles of Ba2+ and then I would divide by 0.0200 L and that is the concentration which then needs to be divided by 100 (because of the 100 fold part) correct?