
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 gasoline undergoes several changes over five months. It increases by $30\%$ in January, decreases by $25\%$ in February, increases by $10\%$ in March, decreases by $15\%$ in April, and falls again by $20\%$ in May. If the price of gasoline at the end of May is $102.60, what was the price at the beginning of January?
A) $120.50$
B) $130.80$
C) $140.67$
D) $150.90$
E) $160.25$

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