In acidic medium, $100\; ml$ of $0.01\;M\;KMnO_4$ solution oxides $100\;ml$ of $H_2O_2$ solution. The volume of $0.01\;M\;KMnO_4$ required to oxidize the same volume of $H_2O_2$ in alkaline medium in ml. is :

Question

$$\begin {array} {1 1} (a)\;\frac{300}{2} & \quad (b)\;\frac{300}{5} \\ (c)\;\frac{500}{3} & \quad (d)\;\frac{500}{2} \end {array}$$