
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
A clothing retailer offered a discount of $\frac{1}{4}$ on all jackets tagged at a specific price. If the cost of the jackets was $\frac{2}{3}$ of the price they were actually sold for and considering this price included a sales tax of $\frac{1}{10}$, what would be the ratio of the cost to the tagged price?
**A)** $\frac{1}{3}$  
**B)** $\frac{2}{5}$  
**C)** $\frac{11}{30}$  
**D)** $\frac{3}{10}$
**E)** $\frac{1}{2}$

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