1. x2 = xy
  2. xyz = 1
  3. x2 = yz
  4. y2 = zx

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Answer: Option 4

Let the time is 't' years and the rate of interest is R% According to the question, $$\eqalign{ & {\bf{Case(I):}} \cr & y = \frac{{x \times {\text{R}} \times {\text{t}}}}{{100}}.....(i) \cr & {\bf{Case(II):}} \cr & z = \frac{{y \times {\text{R}} \times {\text{t}}}}{{100}}.....(ii) \cr} $$ By dividing equation (i) by equation (ii) $$\eqalign{ & \frac{y}{z} = \frac{{x \times {\text{R}} \times {\text{t}}}}{{y \times {\text{R}} \times {\text{t}}}} \cr & \Rightarrow {y^2} = zx \cr} $$

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