Question

If x% of y is 100 and y% of is 200, then find the relation between x and 2
2% X
(4) 23x
(3) %2x​

Answer 1

Step-by-step explanation:

x% of y is 100, then (x/100)y = 100

if y% of z is 200, then (y/100)z = 200

We need to rearrange the terms of the 1st equation to solve for y and use that for the 2nd equation.

if (x/100)y = 100, then y = 1002/x

Use this value of y in the 2nd equation

(y/100)z = 200

[(1002/x)/100]z = 200

This is equivalent to

(100/x)z = 200

100z = 200x

x = (100/200)z

x = 1/2 z

Thank.