Question : If $(3x+y):(3 x-y)=4: 3$, then what is the value of $x: y$?

Option 1: 5 : 3

Option 2: 7 : 3

Option 3: 5 : 2

Option 4: 7 : 4

Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.

Option 1: 7 : 9

Option 2: 4 : 5

Option 3: 3 : 7

Option 4: 9 : 4

Question : If $(7 x+y):(7 x–y)=7: 2$, then what is the value of $x: y$?

Option 1: 9 : 35

Option 2: 11 : 42

Option 3: 6 : 41

Option 4: 17 : 52

Question : If x : y : z = 2 : 3 : 4, then what is the value of 7x : 3y : 2z?

Option 1: $14:9:8$

Option 2: $18:7:12$

Option 3: $12:6:11$

Option 4: $16:9:8$

Question : If (x + y) : (y + z) : (z + x) = 3 : 5 : 7 and (x + y + z) = 45, then what is the value of z?

Option 1: 18

Option 2: 30

Option 3: 27

Option 4: 20