
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

In a certain country, there are only liars and economists (liars always lie, and economists always tell the truth). At a certain moment, the country planned to conduct monetary and fiscal reforms. Since it was unknown what the residents actually expected, they were asked several questions with only "yes" or "no" answers. The questions received affirmative answers as follows:

"Will taxes be raised?" $40\%$,

"Will money supply be increased?" $30\%$,

"Will bonds be issued?" $50\%$,

"Will gold and foreign exchange reserves be spent?" $0\%$.

What percentage of the population actually expects the raising of taxes, given that each of them realistically expects only one measure? (14 points)

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