You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
a, b, and c started a business with different capitals. At the end of the year, the profit share of b is Rs. 3500, and the difference between the profit shares of a and c is Rs. 1399.9999999999998. If b and c invested Rs. 10000 and Rs. 12000 respectively, how much did a invest?
user
12628.57
rule
a, b, and c started a business with different capitals. At the end of the year, the profit share of b is Rs. 3500, and the difference between the profit shares of a and c is Rs. 1399.9999999999998. If b and c invested Rs. 10000 and Rs. 12000 respectively, how much did a invest?
train