Molarity=moles/volume
Moles KMnO4=moles As2O3*(4 moles MnO4-/5 moles As2O3)
Moles As2O3=0.1072/197.8414
Divide given mass by molar mass.
Moles As2O3=0.0005418 moles
Moles MnO4-=0.0005418*(4/5)
Moles MnO4-=0.0004335
Molarity KMnO4=0.0004335 moles/0.02435 L or 0.01780 M