If X = 80% of Y and Z = 120% of X, the ratio X : Y : Z is:

To find the ratio X:Y:Z, we first establish the individual ratios. Given X = 80% of Y, we have X = 0.8Y, which means X/Y = 4/5. So, X:Y = 4:5.

Next, Z = 120% of X, so Z = 1.2X, which means Z/X = 6/5. Thus, X:Z = 5:6.

To combine these, we find a common value for X. If X:Y = 4:5, multiplying by 5 gives X:Y = 20:25. If X:Z = 5:6, multiplying by 4 gives X:Z = 20:24. Therefore, the combined ratio X:Y:Z is 20:25:24.