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Aman, Bittu, and Ramesh initiated a business with investments of Rs. 4,000, Rs. 4,500, and Rs. 6,000, respectively. Ramesh invested for 2 months longer than Bittu, and Aman invested for 2 months less than Bittu. The profit share of Ramesh exceeded that of Aman by 110%. Determine the number of months for which Bittu invested.

A 10

B 15

C 12

D 25

E none of these

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