Answer
The necessary volume for this titration is $33.3\ ml$ of $NaOH$
Work Step by Step
1. Find the volume necessary for an equal number of moles:
$(HClO_4)C_1 * V_1 = (NaOH)C_2 * V_2$
$ 0.250* 30= 0.225 * V_2$
$ 7.5 = 0.225 * V_2$
$V_2 = 33.33ml$