According to the question

let Rahul's marks in mathematics = x

$$\begin{gathered} = \frac{1}{3x}-\frac{1}{2y}=30 \\ = 2x-3y=180 ---\left(1\right) \\ Also given \\ = x+4=480 ---\left(2\right) \\ By solving Equation \left(1\right) and \left(2\right), \\ we get, \\ = x = 324 and y = 156 \end{gathered}$$

Hence, Option E is correct.