Question

x,y,z are three sums of money such that y is the simple interest on x and z is the simple interest on y for the same time and rate.Show that y²=zx

Answer 1

Let r is rate t time.
Then y=xrt/100
z=yrt/100=x*(rt/100)^2 putting value of y. Then from y=xrt/100,rt/100=y/x. Putting this value of rt/100 in z=x*(rt/100)^2 and rearranging we get y^2=zx

Answer 2

Step-by-step explanation:

Since we have given that

y is the simple interest on x

So, it becomes,

$\dfrac{y}{x}=\dfrac{rt}{100}-----------(1)$

z is the simple interest on y for the same time.

So,it becomes,

$\dfrac{z}{y}=\dfrac{rt}{100}----------------(2)$

So, from eq(2) and eq(1), we get that

$\dfrac{y}{x}=\dfrac{z}{y}\\\\y^2=xz$

Hence, proved.

# learn more:

X, y and z are three sums of money such that y is the simple interest on x and z is the simple interest on y for the same time and the same rate. Which of the following is correct and why? a. xyz = 1 b. z 2= xy c. x 2 = yz d. y 2 = zx

https://brainly.in/question/900386