If x runs scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively = ?

Answer: Option B

Given,
X : Y = 3 : 2
Y : Z = 3 : 2
Equal the value of Y in both equation
X : Y = 3 : 2 (multiply with 3) and
Y : Z = 3 : 2 (multiply with 2)
i.e. X : Y = 9 : 6 and
Y : Z = 6 : 4
∴ X : Y : Z = 9 : 6 : 4

Total Run scored by A, B and C = 342
Run Scored by A = $$\frac{9}{19}\times 342=162$$
Run Scored by B = $$\frac{6}{19}\times 342=108$$
Run Scored by C = $$\frac{4}{19}\times 342=72$$