
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 item is first increased in price by $r\%$, and then the new price is decreased by $s\%$. If the final price is $d$ dollars, the original price was:
**A)** $\frac{100d}{100 + r - s - rs}$  
**B)** $\frac{100d}{100 + r - s + rs}$  
**C)** $\frac{100d}{100 + r - s - \frac{rs}{100}}$  
**D)** $\frac{d}{100 + r - s}$  
**E)** $\frac{100d}{110 + r - s - \frac{rs}{100}}$

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