Given the inequality $\(0<x<y<z\)$, we want to compare the two quantities:
Quantity A: $\(\frac{y}{x}\)$
Quantity B: $\(\frac{z}{y}\)$
Analysis:
- Since $\(x<y, \frac{y}{x}>1\)$.
- Since $\(y<z, \frac{z}{y}>1\)$ as well.

Both quantities are greater than 1 , but we need to determine which is larger.
Consider the differences:
- From $x$ to $y$, the ratio is $\(\frac{y}{x}\)$.
- From $y$ to $z$, the ratio is $\(\frac{z}{y}\)$.

Since $x<y<z, y$ is somewhere between $x$ and $z$.
Depending on the spread between $x, y, z$, either $\(\frac{y}{x}\)$ or $\(\frac{z}{y}\)$ could be larger:
- Example 1: If $\(x=1, y=2, z=3\)$ :
- Quantity $\(\mathrm{A}=\frac{2}{1}=2\)$
- Quantity $\(B=\frac{3}{2}=1.5\)$

Here, Quantity A > Quantity B.
- Example 2: If $\(x=1, y=2, z=6\)$ :
- Quantity A $\(=\frac{2}{1}=2\)$
- Quantity $\(\mathrm{B}=\frac{6}{2}=3\)$

Here, Quantity B > Quantity A.
Conclusion:
The relationship between Quantity A and Quantity B cannot be determined from the given information because it depends on how the numbers $x, y, z$ are spaced.

The answer is: The relationship cannot be determined.