K, L, M are partner sharing in the ratio of 3:2:1 .they admit N for1/6

1.	K, L, M are partner sharing in the ratio of 3:2:1 .they admit N for1/6 th share. M retain his original share. Calculate new profit sharing ratio. You
Answer» Answer: New Profit SHARING Ratio = K : L : M : N = 12 : 8 : 5 : 5 Explanation: ★ OLD Ratio : K : L: M = 3 : 2 : 1 K's Share = $\dfrac{3}{6}$ L's Share = $\dfrac{2}{6}$ M's Share = $\dfrac{1}{6}$ They admit N for1/6 th share N's Share = $\dfrac{1}{6}$ M RETAIN his original Share M's original Share = $\dfrac{1}{6}$ Total Share of M and N = $\dfrac{1}{6} + \dfrac{1}{6} = \dfrac{2}{6}$ Let, Total Share of the firm = 1 Balance of Share remains for K and L= $1 - \dfrac{2}{6} = \dfrac{2}{3}$ REMAINING Share divided into K and L in their old ratio 3 : 2 ★ New Profit Sharing Ratio : New Share = old Share × Remaining Share • K's New Share = $\longrightarrow \: \dfrac{3}{5} \times \dfrac{2}{3} = \dfrac{6}{15}$ • L's New Share = $\longrightarrow \: \dfrac{2}{5} \times \dfrac{2}{3} = \dfrac{4}{15}$ • M's Share = $\longrightarrow \: \dfrac{1}{6}$ • N's Share = $\longrightarrow \: \dfrac{1}{6}$ New Profit Sharing Ratio = K : L : M : N $\dfrac{6}{15} : \dfrac{4}{15} : \dfrac{1}{6} : \dfrac{1}{6}$ $\longrightarrow\: \dfrac{12}{30} : \dfrac{8}{30} : \dfrac{5}{30} : \dfrac{5}{30}$ $\longrightarrow$ 12 : 8 : 5 : 5 ∴ New Profit Sharing Ratio = K : L : M : N = 12 : 8 : 5 : 5