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

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

6. (Different Cases of NPS) X, Y and Z are partners sharing profits and losses in the ratio of ½ : 3/10 : 1/5.Calculate the new profit sharing ratio and gaining ratio (a) if X retires (b) if Y retires (c) if Z retires.3

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Old Profit Sharing Ratio	=	1	:	3	:	1
		2		10		5

Rearranging the ratio to common denominator 10 the ratio is	=	5	:	3	:	2
		10		10		10

(a) If X retires

(a) On X’s retirement his 5/10 share will be distributed among Y & Z in their
relative ratio , i.e., 3 : 2
New Profit sharing Ratio of Y & Z = 3 : 2

Gaining ratio = New share – old share

Y’s gain	=	3	-	3
		5		10
	=	3
		10

Z’s gain	=	2	-	2
		5		10
	=	2
		10

Gaining ratio = 3 : 2

(b) If Y retires

On Y’s retirement his 3/10 share will be distributed among X & Z in their relative ratio , i.e., 5 : 2
New Profit sharing Ratio of X & Z = 5 : 2
Gaining ratio = New share – old share

X’s gain	=	5	-	5
		7		10
	=	15
		70

Z’s gain	=	2	-	2
		7		10
	=	6
		70

Gaining ratio	=	15	:	6
	=	5	:	2

(c) If Z retires

On Z’s retirement his 2/10 share will be distributed among X & Y in their relative ratio
Old Profit Sharing Ratio = 5 : 3 : 2

Strike out share of Z from Old Profit sharing ratio = 5 : 3

Gaining ratio = New share – old share

X’s gain	=	5	-	5
		8		10
	=	10
		80

Y’s gain	=	3	-	3
		8		10
	=	6
		80

Gaining ratio	=	10	:	6
	=	5	:	3