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A and B started a business with investments of Rs. 12,800 and Rs. 16,000, respectively. After a few months, C joined them with an investment of Rs. 9,600. At the end of 16 months, the total profit of Rs. 5,400 was distributed, and C received a share of Rs. 1,080. Based on this, determine after how many months C joined the business.

A 6 months

B 3 months

C 4 months

D 9 months

E None of these

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