For this question best is to use some smart numbers i think
for statement 1
let x= 5 y = 100
z= x = 5 --> since given
so lets check : is 5% of 100 > 100% of 5 - - no they are equal. - this will hold true for any positive number for x and y and z
so sufficient
Statement 2:
first simplify - the given z-x=y-x becomes x+z =2y
Again smart numbers - choose numbers that satisfy the above condition
Let y =5. -- so x and z should be 2 numbers that add up to 2y here it is 10
so for example x can be 7 and z can be 3
lets check. is 7% of 5 > 5% of 3? --> yes.. greater percent of a bigger number > smaller percent of a smaller number
So lets see if we can get an opposite ans
what if x = 3 and z = 7 ( they still add up to 10 which is 2y)
now is 3%of 5 > 5% of 7? ---No it is not...
So this statement is not suff
So