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Q.A, B & C are partners sharing profits in the ratio of 5 : 4 : 3. B retires and A and C decide to share future profits equally. What will be the gaining ratio?

(a) 1 : 3
(b) 3 : 1
(b) 4 : 3
(c) 5 : 4
West Bengal WbchseWBCHSE West Bengal HS (Class-12) Commerce Board 2023MCQ· 1mImportance★★★★★
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After B retires, A and C share equally (1/2 each): gain A = 6/12 − 5/12 = 1/12, gain C = 6/12 − 3/12 = 3/12, so the gaining ratio is 1 : 3. The source paper's option lettering is mis-printed (duplicate '(b)', missing '(d)'), but the correct value 1 : 3 is the first option listed.

This WBCHSE HS Accountancy MCQ computes the gaining ratio on retirement.

Old shares (A : B : C = 5 : 4 : 3, total 12): A = 5/12, B = 4/12, C = 3/12.

New shares (A and C share equally): A = 1/2 = 6/12, C = 1/2 = 6/12.

Gain = New share − Old share

PartnerNewOldGain
A6/125/121/12
C6/123/123/12

Gaining ratio A : C = 1/12 : 3/12 = 1 : 3.

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