
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
Let's say you deposit $X$ in a special savings account that initially increases your deposit by $r\%$ but then charges a management fee of $s\%$ on the new total. Find the condition on $r$ and $s$ such that the value of the deposit after these operations is still greater than $X$, given that $s < 20$.
A) $r < \frac{100s}{100 + s}$
B) $r > \frac{100s}{100 - s}$
C) $r < \frac{s}{100 - s}$
D) $r < s$
E) $r > \frac{s}{100 + s}$

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