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Question 06 Chapter 6 of +2-A
06. a W, X, Y and Z are partners sharing profits and losses in the ratio of 1/3, 1/6, 1/3 and 1/6 respectively. Y retires and W, X and Z decide to share the profits and losses equally in future. Calculate gaining ratio.
b A, B and C are partners sharing profits and losses in the ratio of 4 : 3 : 2. C retires from the business. A is acquiring 4/9 of C's share and balance is acquired by B. Calculate the new profit-sharing ratio and gaining ratio.
a
| Old Ratio W, X, Y and Z | = | 1 | : | 3 | : | 1 | : | 1 |
| 2 | 10 | 5 | 6 |
or 2 : 1 : 2 : 1
Gaining Ratio = New Ratio − Old Ratio
| W’s Gain | = | 1 | - | 2 |
| 3 | 6 |
| = | 2 - 2 |
| 6 |
| = | 0 |
| 6 |
| X’s Gain | = | 1 | - | 1 |
| 3 | 6 |
| = | 2 - 1 |
| 6 |
| = | 1 |
| 6 |
| Z’s Gain | = | 1 | - | 1 |
| 3 | 6 |
| = | 2 - 1 |
| 6 |
| = | 1 |
| 6 |
∴Gaining Ratio = 0 : 1 : 1
b
Old Ratio A, B and C = 4 : 3 : 2
| C’s Profit Share | = | 2 |
| 9 |
A acquires 4/9 of C’s Share and remaining share is acquired by B
| Share acquired by A | = | 2 | X | 4 |
| 9 | 9 |
| = | 8 |
| 81 |
Share acquired by B = C’s Share – Share acquired by A
| = | 2 | - | 8 |
| 9 | 81 |
| = | 18 - 8 |
| 81 |
| = | 10 |
| 81 |
New Profit Share = Old Profit Share + Share acquired from C
| A’s new share | = | 4 | + | 8 |
| 9 | 81 |
| = | 39 + 8 |
| 81 |
| = | 44 |
| 81 |
| B’s new share | = | 3 | + | 10 |
| 9 | 81 |
| = | 27 + 10 |
| 81 |
| = | 37 |
| 81 |
∴ New Profit Ratio A and B = 44 : 37
Gaining Ratio = New Ratio − Old Ratio
| A’s new share | = | 44 | - | 4 |
| 81 | 9 |
| = | 44 - 36 |
| 81 |
| = | 8 |
| 81 |
| B’s new share | = | 37 | - | 3 |
| 81 | 9 |
| = | 37 - 27 |
| 81 |
| = | 10 |
| 81 |
∴Gaining Ratio = 8 : 10 or 4 : 5
T.S. Grewal’s Double Entry Book Keeping +2 (Vol. I: Accounting for Not-for-Profit Organizations and Partnership Firms)
Check out T.S. Grewal +2 Book 2020@ Official Website of Sultan Chand Publication
Accounting & Commerce Educator
Sarbjit Singh holds a B.Com and M.Com degree and has over 12 years of teaching experience in double entry bookkeeping, financial accounting, and business studies.
This guide covers "Q.No.6 | Chapter 6 – Retirement/Death of a Partner | T.S. Grewal 12 Class Book Keeping Part - A - Vol. 1", focusing on key definitions, step-by-step concepts, applications, and revision guidelines relevant to T.S. Grewal 12 Class Book Keeping Part - A - Vol. 1.
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