
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
An article is costing $P$ dollars at production and incurs a tax rate of $t\%$ on the cost when sold. If the margin made on this article is $M = \frac{1}{n}P$, where $n$ is a constant, and the final selling price is denoted by $S$ inclusive of tax, find the margin in terms of $S$.

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