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?

Rs. 375
Rs. 400
Rs. 600
Rs. 800

Correct Answer: Rs. 400

Explanation:

C's 1 day's work =	1	-	❨	1	+	1	❩	=	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.	❨	3 x	1	x 3200	❩	= Rs. 400.
			24

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