A alone can do a piece of work in 6 days and B alone in

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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 ₹ 3200. With the help of C they completed the work in 3 days. How much is to be paid to C ?

Using Rule 25,

A’s 1 day’s work =	1
	6

B’s 1 day’s work =	1
	8

(A + B + C)’s 1 day’s work =	1
	3

∴ C’s 1day’s work

	1	-	1	-	1
	3		6		8

=	8 - 4 - 3	=	1
	24		24

∴ Ratio of their one day’s work respectively

	1	:	1	:	1	= 4 : 3 : 1
	6		8		24

Sum of the ratios = 4 + 3 + 1 = 8
∴ C’s share

= ₹	1	× 3200 = ₹ 400
	8