What is the value of x?

What is the value of x? faintly alkaline solution, 8 moles of permanganate anion to Y mole of sulphur pduct 12

Dear student,

3e^- +  MnO₄- + 2H₂O --> MnO₂ +  4OH^- ] x 8
S₂O₃ ^2- +  10OH^-  ---->  2SO₄ ^2- + 5H₂O + 8e^- ] x 3
24e^- + 8MnO₄^- +16H₂O -----> 8MnO₂ + 32OH^-
3S₂O₃^2-  + 3OH^- ---->  6SO₄ ^2- + 15H₂O + 24e^-
Adding all reactants and productants,we get,
8MnO₄^- + 3S₂O₃^2- + H₂O ---->  8MnO₂ + 6SO₄ ^2- + 2OH^-
8 moles of MnO₄^- ion gives 6 moles of SO₄^2- ion
So.the correct option is (1).

Regards,