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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

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1. 

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

[A]. Rs. 375
[B]. Rs. 400
[C]. Rs. 600
[D]. Rs. 800

Answer: Option B

Explanation:

C's 1 day's work = 1 - 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 1 - 7 = 1 .
3 6 8 3 24 24
A's wages : B's wages : C's wages = 1 : 1 : 1 = 4 : 3 : 1.
6 8 24
C's share (for 3 days) = Rs. 1-sym-oparen-h1 3 x 1 x 3200 1-sym-cparen-h1 = Rs. 400.
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