Question

X and Y are partners in equal proportion. Z is admitted for 1/4th share.he took his share from X and Y in 2:1 ratio. ascertain new ratio. answer... 4:5:3​

Answer 1

Explanation:

Old profit sharing ratio of X and Y = 7:5

Z acquires 112th from X and 16th from Y

Z’s total share = 1/2+1/6 = 3/121/2+1/6=3/12

X’s new share = 7/12 - 1/12 = 6/127/12−1/12=6/12

Y’s new share = 5/12 - 1/6 = 3/125/12−1/6=3/12

Hence, new profit sharing ratio of X : Y : Z = 6 : 3 : 3 or 2 : 1 : 1

Answer 2

Answer:

New Profit Sharing Ratio =

X : Y : Z = 4 : 5 : 3

Explanation:

Solution :

X and Y are partners in equal proportion.

★ Old Ratio :

X : Y = 1 : 1

• X's Share = 1/2
• Y's Share = 1/2

Z is admitted for 1/4th share.

Z took his share from X and Y in 2 : 1 ratio.

• Z acquired 2/3 from X =

⇒ 2/3 × 1/4 = 2/12

Z acquired 1/3 from Y =

⇒ 1/3 × 1/4 = 1/12

Z's Share = 2/12 + 1/12 = 3/12

★ New Profit Sharing Ratio :

• X's New Share =

⇒ 1/2 - 2/12 = (6 - 2)/12

⇒ 4/12

• Y's New Share =

⇒ 1/2 - 1/12 = (6 - 1)/12

⇒ 5/12

• Z's Share =

⇒ 1/4 = 3/12

New Profit Sharing Ratio =

• X : Y : Z
• 4/12 : 5/12 : 3/12

⇒ 4 : 5 : 3

Therefore,New Profit Sharing Ratio =

X : Y : Z = 4 : 5 : 3