Answer
About 38.0435ml of $HClO_4$.
Work Step by Step
1. Write and balance the equation:
$HClO_4 + NaOH -> H_2O + NaClO_4$
$1 HClO_4 + 1 NaOH -> 1 H_2O + 1 NaClO_4$
2. Now we can use this formula to find the volume.
$C_1 * V_1 = C_2 * V_2$
$0.115 * V_1 = 0.0875 * 50$
$V_1 = \frac{4.375}{0.115}$
$V_1 \approx 38.0435ml $
