Priya started walking towards east for $20\text{m}$, then took left and walked for $40\text{m}$, then turned right and walked for $30\text{m}$. Now she turns right and walks $40\text{m}$. How far is priya from her starting point?

Let's trace Priya's path step-by-step using Cartesian coordinates $(x,y)$, starting from the origin $(0,0)$:
1. **Starts at $(0,0)$ and walks $20\text{m}$ East:**
New coordinates = $(0+20,0)=(20,0)$
2. **Turns left (North) and walks $40\text{m}$:**
New coordinates = $(20,0+40)=(20,40)$
3. **Turns right (East) and walks $30\text{m}$:**
New coordinates = $(20+30,40)=(50,40)$
4. **Turns right (South) and walks $40\text{m}$:**
New coordinates = $(50,40-40)=(50,0)$

Now, let's find the straight-line distance from the starting point $(0,0)$ to the final point $(50,0)$:

$$\text{Distance}=50-0=50\text{m}$$

Priya is $50\text{m}$ away from her starting point.