
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 shop offers a 5% discount on an item originally priced at $50. After the discount, a sales tax of 8% is applied to the discounted price. However, had the discounted price been subjected to a 7.5% sales tax instead, what would have been the difference in the total cost to the customer after taxes?
A) $0.10$
B) $0.20$
C) $0.24$
D) $1.00$
E) $0.50$

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