The correct option is D 28.4%, 71.6%
The molar masses of calcium carbonate, magnesium carbonate, calcium oxide and magnesium oxide are 100 g/mol, 84.3 g/mol, 56 g/mol and 40.3 g/mol respectively.
Let 100 g of original sample contains x g of calcium carbonate and 100−x g of magnesium carbonate respectively.
The amounts of calcium oxide and magnesium oxide obtained on the decomposition will be 0.56x g and 0.478(100−x) g respectively.
Hence, x+100−x=2(0.56x+0.478(100−x)).
Hence, x=28.4 and 100−x=71.6