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Question
Ambika, Dharani and Padma are partners in a firm sharing profits in the ratio of 5 : 3 : 2. They admit Ramya for 25% profit. Calculate the new profit sharing ratio and sacrificing ratio.
Solution
Ramya share = 25% = 100% – 25% = 75% = `3/4`
Ambika’s share = `5/10 xx 3/4 = 15/40`
Dharani’s share = `3/10 xx 3/4 = 9/40`
Padma’s share = `2/10 xx 3/4 = 6/40`
Ramya’s share = `1/4 xx 1/10 = 1/40`
New Profit Sharing Ratio = 15 : 9 : 6 : 10
Sacrificing Ratio = Old share – New share
Ambika’s share = `5/10 - 15/40 = (20 - 15)/40 = 5/40`
Dharani’s share = `3/10 - 9/10 = (12 - 9)/40 = 3/40`
Padma’s share = `2/10 = 6/40 = (8 - 6)/40 = 2/40`
Sacrificing Ratio = 5 : 3 : 2
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