
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 an article was increased by $r\%$ and later the new price was decreased by $s\%$. If the final price of the article was $d$ dollars, what was the original price? Assume $s < r$ and $0 < r, s < 100$.
A) $\frac{d \times 10000}{10000 + 100(r+s) - rs}$
B) $\frac{d \times 10000}{10000 + 100(r-s) - rs}$
C) $\frac{d \times 10000}{10000 - (r - s)}$
D) $\frac{d \times 10000}{10000 - rs}$

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