A, B and C are partners with profit sharing ratio 4 : 3 : 2. B retires and goodwill was valued ₹ 1,08,000. If A & C share profits in 5 : 3, find out the goodwill shared by A and C in favour of B.

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₹ 19,500 and ₹ 16,500 Explanation: Old Ratio = 4 : 3 : 2 New Ratio = 5 : 3 Gaining ratio = New Ratio – Old Ratio A = $\frac{5}{8}$-$\frac{4}{9}$=(45-32)/72=$\frac{13}{72}$ C = $\frac{3}{8}$-$\frac{2}{9}$=(27-16)/72=$\frac{11}{72}$ A : C = $\frac{13}{72}$:$\frac{11}{72}$ = 13 : 11 $\therefore$ B’s share of Goodwill = 1,08,000xx3/9 = 36,000 A = 36,000xx13/24 = 19,500 C = 36,000xx11/24 = 16,500

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