A piece of wood of mass $0.03\,\text{kg}$ is dropped from the top of a $100\,\text{m}$ height building. At the same time, a bullet of mass $0.02\,\text{kg}$ is fired vertically upward, with a velocity $100\,\text{ms}^{-1}$, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is: ($g = 10\,\text{ms}^{-2}$)