Question : A and B are partners in a firm sharing profits in a ratio of 7: 3. C is admitted as a new partner. A sacrifices 2 / 7 th of his share in profits in favour of C and B 1 / 7 th of his share in favour of C. The new profit-sharing ratio between A, B and C will be
Option 1: 39: 11: 30
Option 2: 50: 11: 30
Option 3: 35: 18: 17
Option 4: None of the above
Correct Answer: 35: 18: 17
Solution : Answer = 35: 18: 17 A's old share $=\frac{7}{10}$; Asurrenders $\frac{2}{7}$ th of $\frac{7}{10}$ in fayour of C, i. e., $\frac{2}{7} \times \frac{7}{10}=\frac{2}{10}$ (It means that A has surrendered $\frac{2}{10}$ out ofhis share in favour of C ) B's old share $=\frac{3}{10}$; B suirenders $\frac{1}{7}$ th of $\frac{3}{10}$ in favour of C, i. e., $\frac{1}{7} \times \frac{3}{10}=\frac{3}{70}$ (It means that B has surrendered $\frac{3}{70}$ out ofhis share in favour of C) Calculation of New Ratios: A's new share after simendenng $\frac{2}{10}$ in favour of C=$\frac{7}{10}-\frac{2}{10}=\frac{5}{10}$ B's share after simendenng $\frac{3}{70}$ in favour of C=$\frac{3}{10}-\frac{3}{70}=\frac{21-3}{70}=\frac{18}{70}$
C's share is the total of $\frac{2}{10}$ from A and $\frac{3}{70}$ from B=$\frac{2}{10}+\frac{3}{70}=\frac{14+3}{70}=\frac{17}{70}$
Hence, New ratio of A, B and C=$\frac{5}{10}: \frac{18}{70}: \frac{17}{70}=\frac{35: 18: 17}{70}=35: 18: 17$ Hence, the correct option is 3.
Question : Divya, Vikas and Varun are partners sharing profits in the ratio of 1/2: 1/8: 3/8 respectively. Vikas retires and surrenders 1/9 th from his share in favour of Divya and the remaining in favour of Varun. gaining ratio and new profit-sharing ratio will be :
Option 1: Gaining ratio 8: 1 and new profit sharing ratio 11: 7
Option 2: Gaining ratio 11: 7 and new profit sharing ratio 8: 1
Option 3: Gaining ratio 4: 2 and new profit sharing ratio 7: 11
Question : Arun, Bhushan and Chetan are partners in a firm sharing profits in 3: 2: 3 ratio. They decide to admit Sehzad as a partner. Arun surrendered 1 / 3 of his share in favour of Sehzad, Bhushan surrendered 1/4 of his share in favour of Sehzad and Chetan surrendered 1/5 of his share in favour of Sehzad. The new profit sharing ratio of partner will be
Option 1: 3: 2: 3: 2
Option 2: 2: 2: 1: 1
Option 3: 2: 1: 2: 1
Question : A, B and C were partners in a firm sharing profits in a 3: 3: 2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A, 1 / 7 from B and 1 / 7 from C. The new profit sharing ratio will be
Option 1: 5:13:6:32
Option 2: 5:13:6:4
Option 3: 3: 3: 2: 4
Question : A, B and C are partners sharing profits in the ratio of 7:6:7, B retires and his shares are divided equally between A and C. The New profit-sharing ratio of the remaining partners will be
Option 1: 1:1
Option 2: 4:5
Option 3: 3:2
Option 4: 2:3
Question : B and C were partners in a firm sharing profits in the ratio of 3: 2: 1. They admitted D as a new partner for 1/8 th share in the profits, which he acquired 1/16 th from B and 1/16 th from C. sacrificing ratio will be
Option 1: 1:1:1
Option 2: 2:1
Option 3: 3:2:1
Option 4: 1:1
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