The formula of the metal oxide is MO, which means there is only one oxygen atom bonded to the metal. The Mr of a compound is the sum of Ar of the elements that make up the compound. So, from this we can construct a equation.
Mr of MO = Ar of oxygen + Ar of metal
81 = 16 + Ar of metal
We can then rearrange the equation to give the Ar of the metal.
Ar of metal = 81 - 16
Ar of metal = 65
By looking at a periodic table we can see that the metal that has an Ar of 65 is Zinc.