
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 dealer bought \( n \) radios for \( d \) dollars, \( d \) a positive integer. He contributed three radios to a community bazaar at one-third their cost. The rest he sold at a profit of \( 10 \) dollars on each radio sold. If the overall profit was \( 100 \) dollars, then the least possible value of \( n \) for the given information is:
A) 10
B) 12
C) 13
D) 15
E) 16

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