Evaluate your "basic concept of chemistry"

   A sample containing Cu₂S, Cu₂O and 50 millimole of an inert gas is treated with 500 meq. Of acidic KMnO₄. The entire Cu is converted to Cu⁺² and the resulting solution is diluted to 50 ml. A 5 ml. of diluted solution is treated with excess of KI solution, Iodine is liberated and it is filtered. Now it is diluted to 50 ml. 5 ml of this liberated iodine requires 10 ml of 0.2 N Na₂S₂O₃. Find out the mole fraction of Cu₂S and Cu₂O in the given sample.