Q 1159167914.     A 3.00 g sample containing `Fe_3O_4, Fe_2O_3` and an inert impure substance, is treated with excess of KI solution in presence of dilute `H_2SO_4`. The entire iron is converted into `Fe^(2+)` along with the liberation of iodine. The resulting solution is diluted to 100 mL. A 20 mL of the diluted solution requires 11.0 mL of 0.5 M `Na_2S_2O_3` solution to reduce the iodine present. A 50 mL of the dilute solution, after complete extraction of the iodine required 12.80 mL of 0.25 M `KMnO_4` solution in dilute `H_2SO_4` medium for theoxidation of `Fe^(2+)`. Find the percentage of `Fe_2O_3` and `Fe_3O_4` in the original sample respectively.