
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
If $k$, $r$, $s$, and $N$ are positive numbers and $r < 80$, then the number obtained by increasing $N$ by $k\%$ and then decreasing the result by $r\%$, finally adding $10s$ to it, exceeds $N$ if and only if
A) $k > r$
B) $k > \frac{r}{80 - r}$
C) $k > \frac{80r}{80 + r}$
D) $k > \frac{100r}{100 - r}$
E) $k > \frac{100r}{100 + r}$

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