Chemical Kinetics and Nuclear Chemistry

For the following reactions $A\buildrel {700K} \over \longrightarrow {\mathop{\rm Product}\nolimits}$ $A\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{catalyst}^{500K}} {\mathop{\rm Product}\nolimits}$ it was found that E_a is decreased by 30 kJ/mol in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre exponential factor is same):