Consider a propped cantilever $$ABC$$ under two loads of magnitude $$P$$ each as shown in figure below. Flexural rigidity of the beam is $$EI$$.

The reaction at $$C$$ is

For the linear elastic beam shown in the figure, the flexural rigidity, $$EI$$ is $$781250\,\,kN$$ - $${m^2}.$$ When $$w=10$$ $$kN/m,$$ the vertical reaction $${R_A}$$ at $$A$$ is $$50$$ $$kN.$$ The value of $${R_A}$$ for $$w = 100\,kN/m$$ is