Discussion
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
Answer: C
Write both statements with the same \( R \) and \( T \), and let \( k = \tfrac{RT}{100} \).
\[ x = yk, \qquad y = zk \]
Dividing one by the other:
\[ \frac{x}{y} = \frac{y}{z} \quad\Longrightarrow\quad y^{2} = xz \]
So \( y \) is the geometric mean of \( x \) and \( z \). Substituting directly gives the same thing: \( x = zk^{2} \) and \( y^{2} = z^{2}k^{2} = xz \).
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