A) \[{{\text{X}}^{\text{2}}}\text{ }=\text{ YZ}\]
B) \[~{{\text{Y}}^{\text{2}}}\text{ }=\text{ ZX}\]
C) \[{{\text{Z}}^{\text{2}}}\text{ }=\text{ XY}\]
D) XYZ = 1
Correct Answer: B
Solution :
et time = tyrs and Rate \[=\text{ }r%\] In first case, Sum = X. \[\therefore \] Interest, \[Y=\frac{X\times t\times y}{100}\] or \[\frac{Y}{X}=\frac{t\times r}{100}\] ??(i) In second case, Sum = Y, \[\therefore \] Interest, \[Z=\frac{Y\times t\times r}{100}\] or \[\frac{Z}{Y}=\frac{t\times r}{100}\] ..?..(ii) From equations (i) and (ii), we get \[\frac{Y}{X}=\frac{Z}{Y}\] \[\therefore \] \[{{Y}^{2}}=ZX\]
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