If x is the simple interest on y and y is the simple interest on z, the Rate percent and the time being is same in both cases, what is the relation between x, y and z?
Answer & explanation
Correct answer: option 1
x is the simple interest on y
SI = \(\frac{ P ×R × T }{100}\)
x = \(\frac{ y ×R × T }{100}\)
\(\frac{ x }{y}\) = \(\frac{ R × T }{100}\) ----(1)
Similarly ,
y is the simple interest on z
=y \(\frac{ z ×R × T }{100}\)
\(\frac{ y }{z}\) = \(\frac{ R × T }{100}\) ----(2)
\(\frac{ x }{y}\) = \(\frac{ y }{z}\)
y² = xz
The correct answer is Option (1) → y² = xz