For following reactions
$\begin{aligned} & A \xrightarrow{700 \mathrm{~K}} \text { Product } \\ & A \xrightarrow[\text { catalyst }]{500 \mathrm{~K}} \text { Product }\end{aligned}$
it was found that the Ea 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 sam