Three persons undertake to complete a piece of work for

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Three persons undertake to complete a piece of work for ₹ 1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?

Rule 3 and Rule 25,
If the fourth person completes the work in x days, then

	3	+	3	+	3	+	3	= 1
	8		12		16		x

⇒	1	=	1	-	1	-	1	-	1
	x		3		8		12		16

=	16 - 6 - 4 - 3	=	1
	48		16

∴ x = 16
∴ Ratio of wages

=	1	:	1	:	1	:	1	= 6 : 4 : 3 : 3
	8		12		16		16

Sum of ratios = 6 + 4 + 3 + 3 = 16
∴ Fourth person’s share

=	3	× 1200 = ₹ 225
	12