Final answer:
The new ratio of their salaries after the given increments is 23:33:60.
Step-by-step explanation:
To find the new ratio of their salaries, we need to calculate the new salaries for A, B, and C after the given increments.
Let's assume the original salaries for A, B, and C are 2x, 3x, and 5x respectively.
After the 15% increment, the new salary for A would be 2x + 0.15(2x) = 2.3x.
After the 10% increment, the new salary for B would be 3x + 0.10(3x) = 3.3x.
After the 20% increment, the new salary for C would be 5x + 0.20(5x) = 6x.
The new ratio of their salaries would be 2.3x : 3.3x : 6x, which simplifies to 23 : 33 : 60.