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Q.A, B and C are partners sharing profits in the ratio of 2 : 2 : 1. A retires and his share is taken by B and C in the ratio of 3 : 2. Find out new ratio - (A) 16 : 9
(B) 9 : 6
(C) 4 : 3
(D) 1 : 1

Rajasthan RbseRBSE Rajasthan Senior Secondary (Class-12) Commerce Board 2025MCQ· 1mImportance★★★★★
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After A retires and his 2/5 share is taken by B and C in 3:2, the new ratio of B:C is 16 : 9.

Old ratio A : B : C = 2 : 2 : 1, i.e. A = 2/5, B = 2/5, C = 1/5. A's share of 2/5 is acquired by B and C in 3 : 2.

PartnerGain from ANew share
B3/5 × 2/5 = 6/252/5 + 6/25 = 10/25 + 6/25 = 16/25
C2/5 × 2/5 = 4/251/5 + 4/25 = 5/25 + 4/25 = 9/25
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