One must rely on the guidelines concerning the charge of the nonmetal ions in order to determine the oxidation state of a Transition metal. The guidelines for the oxidation states of nonmetals, state that chlorine, a Group VII member, always forms a charge of ( -1) when it reacts with metals. As there are three chloride ions, the total negative charge is (-3).
The compound, FeCl3, has no net charge, and one must assume that the positive charge of the iron ion in the compound must be equal to the total negative charge of (-3).
Since there is only one iron ion for three chlorine ions, the oxidation state of iron must be therefore be "+3".
Referring to the guidelines for nonmetals, it is known that oxygen always forms an ion with a charge of ( -2 ) when it reacts with metals. charged-ion. Since there are two oxygen ions in the compound, the total charge is (-4). As MnO2 has not net charge, it must mean the single manganese ion has a positive charge equal to this total negative charge. Hence, the charge of the manganese ion must be (+4).
As each oxygen ion is assigned a charge of (-2) when it reacts with a metal, the total negative charge is (-6). As the compound has no net charge, this must mean the the total charge of the two chromium ions equals (+6). Hence, the charge of each ion is (+3)
Potassium is a Representative Element which belongs to Group I. Hence, each potassium ion carries a "+1" charge for a total charge of "+2". Each oxygen ion, carries a (-2) charge whenever it reacts with a metal. The total negative charge due to the 4 oxygens is (-8).
Adding the total positive charge from the two potassium ions and total negative charge of the two oxygen ions gives a net charge of (-6).
Since the compound has no net charge, and there is only 1 chromium ion, its charge must be (+6).