first, we can get moles of HClO4 = molarity * volume
= 0.18 M* 0.1 L
= 0.018 mol
then, we can get moles of LiOH = molarity * volume
= 0.27 * 0.03 L
= 0.0081 mol
when moles of HCIO4 remaining = 0.018 - 0.0081
= 0.0099 mol
when total volume = 0.1 + 0.03 = 0.13 L
when HCIO4 is a strong acid so, we can assume [HC|O4] = [H+]
[H+] = moles HCIO4 / total volume
= 0.0099 mol / 0.13 L
= 0.076 M
∴PH = - ㏒[H+]
= -㏒0.076
= 1.12