U can look at it like this and not do any calculation:
the Normal for H2SO4 is 2 (supplies 2 H+)
the Normal for NaOH is 1 (supplies 1 OH)
So if you have 200mL of NaOH, how much H+ do u need to get it back down to a pH=7? Well since H2SO4 will give you 2 H+ when it dissociates, you will only need HALF as much H2SO4 as NaOH inorder for the amount of H+ to equal the amount of OH- and thus, balance the pH.
Ans. 100mL
If you were using HCl, you need an equal amount of it, 200mL, because HCl only provides 1 H+ so equal amounts of HCl and NaOH are required to balance the pH