A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C, they can finish it in 5 days. If they are paid Rs. 960 for the whole work how much money A gets?

Assume the total work is the least common multiple of 12, 15, and 5, which is 60 units. The daily work capacities of A, B, and (A+B+C) are 5 units, 4 units, and 12 units respectively, making the daily capacity of C equal to 3 units. Wages are distributed in the proportion of work done, which is the proportion of daily capacities: 5:4:3. A's share in the total ratio of 12 parts is 5 divided by 12, so A receives 5/12 of 960, which equals Rs. 400.

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