Question

$x,y,z$ are three sums of money such that y is the simple interest on x, and z is the simple interest of y for the same time and same rate. The relation between x, y, and z is

• A. $x^2=yz$
• B. $z^2=xy$
• C. $y^2=xz$
• D. $xyz=1$

Answer 1

The correct option is C $y^2=xz$

Let r be the rate and t be the time.
$y=\frac{x\times r\times t}{100}$ and $z=\frac{v\times r\times t}{100}$
$\therefore \frac{y}{z}=\frac{x}{y}$ or $y^2=xz$.