Going $50\text{m}$ to the south of her house, Radhika turns left and goes another $20\text{m}$. Then turning to the north, she goes $30\text{m}$ and then starts walking to her house. In which direction is she walking now?

Let the starting point (house) be located at coordinate origin $(0,0)$.
1. Walks $50\text{m}$ South: New position becomes $(0,-50)$.
2. Turns Left (facing South, a left turn means East): Walks $20\text{m}$, so position is $(20,-50)$.
3. Turns North: Walks $30\text{m}$, shifting position vertically to $(20,-50+30)=(20,-20)$.

Now, she starts moving directly toward her house at $(0,0)$.
To travel from $(20,-20)$ to $(0,0)$, she must move Left (West) and Upward (North).
Therefore, she is currently walking in the North-West direction.