
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
At Rhythmic Academy, 70% of the students enjoy dancing, and the remaining dislike it. Of those who enjoy dancing, 75% honestly claim they like it, while the rest falsely claim they dislike it. On the other hand, of the students who dislike dancing, 85% correctly state they dislike it, and the remaining 15% incorrectly claim they like it. Determine the percentage of students who state they dislike dancing but actually enjoy it.
A) 35%
B) 40.69%
C) 45%
D) 50%

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