Question

X, Y and Z are the three sums of money. X is the simple interest on Y, and Y is the simple interest on Z. The rate percent per year and the time in years being the same in each case. Which one of the following relations in X, Y, Z is correct?

• A. $XYZ=100$
• B. $Y^2=XZ$
• C. $Z^2=XY$
• D. $X^2=YZ$

Answer 1

The correct option is B $Y^2=XZ$

b'$X=\frac{Y\times r\times t}{100}$ and $Y=\frac{Z\times r\times t}{100}$
$\frac{X}{Y}=\frac{Y}{Z}$ i.e., $Y^2=XZ$'