When an oxide of manganese $$(P)$$  is fused with $$KOH$$  in the presence of an oxidising agent and dissolved in water, it gives a dark green solution of compound $$(Q).$$  Compound $$(Q)$$  disproportionates in neutral or acidic solution to give purple compound $$(R).$$  An alkaline solution of compound $$(R)$$  oxidises potassium iodide solution to a compound $$(S)$$  and compound $$(P)$$  is also formed. Compounds $$P$$  to $$S$$  are

	$$P$$	$$Q$$	$$R$$	$$S$$
(a)	$$MnO_4^ - $$	$$KI{O_3}$$	$$Mn{O_2}$$	$${K_2}Mn{O_4}$$
(b)	$$Mn{O_2}$$	$${K_2}Mn{O_4}$$	$$MnO_4^ - $$	$$KI{O_3}$$
(c)	$$Mn{O_2}$$	$$MnO_4^ - $$	$${K_2}Mn{O_4}$$	$$KI{O_3}$$
(d)	$${K_2}Mn{O_4}$$	$$Mn{O_2}$$	$$MnO_4^ - $$	$$KI{O_3}$$