X and y are partners in 2:1. Z is admitted for 1/4 share X and Y decided to share profits in equal proportions. Ascertain new ratio and sacrifice ratio
Answers
Answer:
NEW RATIO OF X,Y&Z IS 6:3:3 i.e. 2:1:1
SACRIFICING RATIO OF 'X'&'Y' IS 2:1
Explanation:
OLD RATIO OF 'X' IS 2/3
OLD RATIO OF 'Y' IS 1/3
'Z' AGREED SHARE = 1/4
ASSUMING THAT TOTAL SHARE = 1
REMAINING SHARE = 1-1/4 = 3/4
'X' NEW SHARE = 2/3 × 3/4 = 6/12
'Y' NEW SHARE = 1/3 × 3/4 = 3/12
'Z' NEW SHARE = 1/4 × 3/3 = 3/12
⇒ NEW RATIO OF X,Y&Z IS 6:3:3 i.e. 2:1:1
⇒'X'SACRIFICE = OLD - NEW = 2/3-2/4 = 2/12
⇒'Y'SACRIFICE = OLD - NEW = 1/3-1/4 = 1/12
SACRIFICING RATIO OF 'X'&'Y' IS 2:1
Explanation:
Solution :
★ Old Ratio :
X : Y = 2 : 1
- X's Share = 2/3
- Y's Share = 1/3
Z is admitted for 1/4 share
Let,
Total Profit of all Partners = 1
- Z's Share = 1/4
So,
Remaining Share :
1 - 1/4 = 3/4
X and Y decided to share profits in equal proportions.
★ New Profit Sharing Ratio :
• X's New Share = 3/4 × 1/2
= 3/8
• Y's New Share = 3/4 × 1/2
= 3/8
• Z's Share = 1/4 × 2/2
= 2/8
New Profit Sharing Ratio =
- X : Y : Z
- 3/8 : 3/8 : 2/8
= 3 : 3 : 2
★ Sacrifice Ratio = Old Ratio - New Ratio
- X =
= 2/3 - 3/8
= (16 - 9)/24
= 7/24 --------- (Sacrifice)
- Y =
= 1/3 - 3/8
= (8 - 9)/24
= - 1/24 -------- (Gain)
X' Sacrifice = 7/24
Y's Gain = 1/24
Therefore, New Profit Sharing Ratio =
X : Y : Z = 3 : 3 : 2
And X' Sacrifice = 7/24