
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
The price of a product was increased by $r\%$ and later decreased by $s\%$. If the final price was one dollar, what was the initial price of the product?
A) $\frac{10000}{10000 - rs}$
B) $\frac{10000}{10000 + 100(r-s)}$
C) $\frac{10000}{10000 + 100(r-s) - rs}$
D) $\frac{1}{1 - \frac{rs}{10000}}$
E) $\frac{10000 + rs}{10000}$

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