
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A worker originally earning wage $W$ receives a $30\%$ cut in wages. Subsequently, the worker also incurs a fixed $100$ dollars deduction from his new wage. To exactly regain his original pay, the worker must obtain a raise of what percentage on his reduced wage?
A) 50%
B) 62.5%
C) 66.67%
D) 75%
E) 83.33%

Present the answer in LaTex format: \boxed{Your answer}
user