Gautam and Yashica are partners sharing profits and losses in the ratio of 3: 2. They admit Asma into partnership. Gautam gives 1 / 3rd of his share while Yashica gives 1 / 10th from his share to Asma. Calculate new profit-sharing ratio and sacrificing ratio.

SOLUTION

Old Ratio of Gautam and Yashica is 3: 2.
Gautam ‘s sacrifice = 1/3 × 3/5 = 3/15 
Yashica ‘s sacrifice = 1/10
Sacrificing Ratio = 3/15: 1/10 or 2: 1

New Ratio = Old Share − Share Sacrificed
Gautam ‘s new share = 3/5 – 3/15 = 6/15
Yashica ‘s new share = 2/5 – 1/10 = 3/10
Asma’s share = 3/15 + 1/10 = 9/30
New Ratio = 6/15: 3/10: 9/30 = 4: 3: 3


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