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✦ FREE LEARNING — CLASS 11 & 12 — CBSE · PSEB — ACCOUNTS · ECONOMICS · BST ✦
(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. Y died and W, X and Z decide to share profits and losses equally in future. Calculate the gaining ratio. (b) A, B and C are partners sharing profits and losses in the ratio of 4 : 3 : 2. C died. A acquires 4/9 of C’s share and the balance is acquired by B. Calculate the new profit-sharing ratio and gaining ratio.
(a) Old Ratio (W : X : Y : Z) = 1/3 : 1/6 : 1/3 : 1/6 = 2 : 1 : 2 : 1. New Ratio (W : X : Z) = 1 : 1 : 1.
Gaining Ratio = New Ratio – Old Ratio: W’s gain = 1/3 – 2/6 = 0. X’s gain = 1/3 – 1/6 = 1/6. Z’s gain = 1/3 – 1/6 = 1/6.
Gaining Ratio = 0 : 1 : 1
(b) Old Ratio (A : B : C) = 4 : 3 : 2 (ninths). C’s share = 2/9. A acquires 4/9 of C’s share = 2/9 × 4/9 = 8/81. B acquires the balance = 2/9 – 8/81 = 18/81 – 8/81 = 10/81.
A’s new share = 4/9 + 8/81 = 36/81 + 8/81 = 44/81. B’s new share = 3/9 + 10/81 = 27/81 + 10/81 = 37/81.
New Profit Ratio (A : B) = 44 : 37. Gaining Ratio = A’s gain 8/81 : B’s gain 10/81 = 8 : 10, i.e. 4 : 5.
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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 "T.S. Grewal Class 12 Chapter 6 Q.5 - Death of a Partner", focusing on key definitions, step-by-step concepts, applications, and revision guidelines relevant to Chapter 6 - Death of a Partner.
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