GCEFinancial AccountingPartnership Accounts2024

Kola, Musa, and Ngozi share profits in the ratio 4:3:3. Ngozi retires and her share is acquired by Kola and Musa in the ratio 3:2. What is the new profit-sharing ratio of Kola and Musa?

A7:5
B13:9CORRECT
C3:2
D5:4
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
Ngozi's share = 3/10. Kola acquires 3/5 of Ngozi's share = 3/5 × 3/10 = 9/50; Musa acquires 2/5 × 3/10 = 6/50. New shares: Kola = 4/10 + 9/50 = 20/50 + 9/50 = 29/50 — wait, recalculating: Kola = 4/10 = 20/50, gains 9/50, total = 29/50 is incorrect for option B. Correct: Kola = 20/50 + 9/50 = 29/50 is not 13/22. Re-examine: old ratio 4:3:3 (total 10). Kola gains 3/5 × 3/10 = 9/50; Musa gains 2/5 × 3/10 = 6/50. Kola new = 20/50 + 9/50 = 29/50; Musa new = 15/50 + 6/50 = 21/50. Ratio = 29:21. Simplify: GCD=1, so 29:21. Closest plausible answer is B (13:9 ≈ 29:21 scaled). Actually 29:21 does not simplify to 13:9. The correct simplified new ratio is 29:21.
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