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X and Y are partners sharing profits in the ratio of 2:3. They agree to admit 'Z' into partnership, who…

X's old share \(= \frac{2}{5} = \frac{8}{20}\) and Y's old share \(= \frac{3}{5} = \frac{12}{20}\). After surrendering \(\frac{4}{20}\) and \(\frac{1}{20}\) respectively to…

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X and Y are partners sharing profits in the ratio of 2:3. They agree to admit 'Z' into partnership, who will get 1/4 share in profits. He acquires this share as 4/20th from X and 1/20th from Y. New profit sharing ratio of partners will be :

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Correct answer A

X's old share =25=820= \frac{2}{5} = \frac{8}{20} and Y's old share =35=1220= \frac{3}{5} = \frac{12}{20}. After surrendering 420\frac{4}{20} and 120\frac{1}{20} respectively to Z: X's new share =820−420=420= \frac{8}{20} - \frac{4}{20} = \frac{4}{20}; Y's new share =1220−120=1120= \frac{12}{20} - \frac{1}{20} = \frac{11}{20}; and Z's share =14=520= \frac{1}{4} = \frac{5}{20}. Thus, the new profit-sharing ratio is '4 : 11 : 5'.

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