Question 10 Chapter 6 of Class 12 Part – 1 Usha Publication

Question 10 Chapter 6 of Class 12 Part – 1 Usha Publication

10. (Gaining Ratio) X, Y and Z are sharing profits in the ratio of 5: 4: 3. Y retires. Calculate the gaining ratio if :

1. X and Z decide to share profits equally.
2. X and Z decide to share profits 7:5.
3. X and Z decide to share profits 5: 7.

The solution of Question 10 Chapter 6 of Class 12 Part – 1 Usha Publication: -

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Calculation of Gaining ratio

Gaining ratio = New share – old share

(a)		X	Y	Z
New ratio	=	1	-	1
Old ratio	=	5	4	3

X's gain	=	1	-	5
		2		12
	=	1
		12

Z's gain	=	1	-	3
		2		12
	=	3
		12

So, Gaining Ratio of X & Z	=	1	:	3
		12		12
	=	1	:	3

(b)		X	Y	Z
New ratio	=	7	-	5
Old ratio	=	5	4	3

X's gain	=	7	-	5
		12		12
	=	2
		12

Z's gain	=	5	-	3
		12		12
	=	2
		12

So, Gaining Ratio of X & Z	=	2	:	2
		12		12
	=	2	:	2
	=	1	:	1

(c)		X	Y	Z
New ratio	=	5	-	7
Old ratio	=	5	4	3

X's gain	=	5	-	5
		12		12
	=	Nil

Z's gain	=	7	-	3
		12		12
	=	4
		12

So, Gaining Ratio of X & Z	=	Nil	:	4
				12