Question

Ajay, Vijay, and Charu started a business by investing Rs.12800, Rs.14400, and Rs.‘a’ respectively. Charu withdrew her investment after 6 months, while Vijay exited the business after 8 months. At the end of one year, Ajay’s share of the profit was (8/11)ᵗʰ of the combined profit shares of Vijay and Charu. Determine the value of ‘a’.

A 24000
B 31000
C 16000
D 12000
E None of these
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