If x, y, z are three sums of money such that y is the simple interest on x, z the simple interest on y for the same time and at the same rate of interest, then which of the following holds true?
Answer & explanation
Correct answer: option 1
S.I. = \(\frac{P\;R\;T}{100}\)
ATQ,
1st: y = \(\frac{x\;R\;T}{100}\)
⇒ \(\frac{R\;T}{100}\) = \(\frac{y}{x}\) ........(i)
2nd: z = \(\frac{y\;R\;T}{100}\)
⇒ \(\frac{R\;T}{100}\) = \(\frac{z}{y}\) ..........(ii)
Here, (i) = (ii)
Therefore,
⇒ \(\frac{y}{x}\) = \(\frac{z}{y}\)
⇒ y2 = zx