#5C_2O_4^(2-) + 2MnO_4^(-) + 16H^(+) rarr 2Mn^(2+) + 10CO_2(g)uarr + 8H_2O#.
So, we works out moles of #"permanganate"#:
#=0.001*mol*L^-1xx4xx10^-3L=4xx10^-6*mol#
And thus, by the stoichiometry, there were #5/2xx4xx10^-6*mol# #"calcium oxalate"#, which were dissolved in #250*mL# water under conditions of saturation, i.e. a concentration of.......
#(5/2xx4xx10^-6*mol)/(0.250*L)=4.0xx10^-5*mol*L^-1#.
But, by specification, this represented a saturated solution.
And so #K_"sp"=[Ca^(2+)][C_2O_4^(2-)]#
#=(4.0xx10^-5*mol*L^-1)^2=1.6xx10^-9#