A small insurance agency has two sales agents who sell policies to retail clients. Historic data suggests that the monthly amount of claims filed by clients of each agent is normally distributed and independent of the other. It is also known that the mean of the monthly claims received by the insurance agency is INR 3000 and the standard deviation is INR 500. Finally, it is also known that amount of claims filed with the second agent were lower than those filed with the first agent in 11.5% months. What is the mean of the monthly claims filed with the first agent?

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