X and Y were partners sharing profits in the ratio of 3 : 2. They admitted P and Q as new partners. X surrendered 1/3rd of his share in favour of Calculate new profit-sharing ratio of X, Y, P and Q. - Accountancy

Sum

X and Y were partners sharing profits in the ratio of 3 : 2. They admitted P and Q as new partners. X surrendered 1/3rd of his share in favour of P and Y surrendered 1/4th of his share in favour of Q. Calculate new profit-sharing ratio of X, Y, P and Q.

Solution

Old Ratio = X : Y = 3 : 2
Sacrificing Ratio = Old Ratio × Surrender Ratio
X's Sacrificing Share = 3/5 xx 1/3 = 3/15

Y's Sacrificing Share = 2/5 xx 1/4 = 2/20

New Ratio = Old Ratio − Sacrificing Ratio
X's share = 3/5 - 3/15 = 6/15

Y's share = 2/5 - 2/20 = 6/20

P’s share = X’s Sacrifiece = 3/15

Q’s share = Y’s Sacrifice = 2/20

New Profit Sharing Ratio = X : Y : P : Q

= 6/15 : 6/20 : 3/15 : 2/20

= [ 24 : 18 : 12 : 6 ]/60

= or 10 : 6: 4 :5 respectively.

Concept: Retirement and Death of a Partner - Calculation of New Profit Sharing Ratio
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APPEARS IN

TS Grewal Class 12 Accountancy - Double Entry Book Keeping Volume 1
Chapter 5 Admission of a Partner
Exercise | Q 10 | Page 86