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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?

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

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total work =24 days

A= 6 days=4 unit /day

B= 8 days=3 unit /day

C=?         =1 unit / day

A&B&C=3 days=total 8 unit / day

A=4/8*3200=1600

B=3/8*3200=1200

C=1/8*3200=400

C's 1 day's work =

1/3−(1/6+1/8)=(1/3−7/24)=1/24

A:B:C=1/6:1/8:1/24=4:3:1

C′sShare=1/8∗3200=400
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