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
Option 4: None of the above
Correct Answer: None of the above
Solution : Answer = none of the above (i) Calculation of Surrendered share :
Arun's old share $=\frac{3}{8}$, Arun surrenders $\frac{1}{3}$ of $\frac{3}{8}$ in favour of Sehzad, i. e., $\frac{1}{3} \times \frac{3}{8}=\frac{1}{8}$
Bhushan's old share $=\frac{2}{8}$, Bhushan surrenders $\frac{1}{4}$ of $\frac{2}{8}$ in favour of Sehzad, i. e., $\frac{1}{4} \times \frac{2}{8}=\frac{1}{16}$
Chetan's old share $=\frac{3}{8}$, Chetan surrenders $\frac{1}{5}$ of $\frac{3}{8}$ in favour of Sehzad, i. e., $\frac{1}{5} \times \frac{3}{8}=\frac{3}{40}$
Calculation of New Ratios Arun's new share after surrendenng $\frac{1}{8}$ in favour of Sehzad =$\frac{3}{8}-\frac{1}{8}=\frac{2}{8}$ Bhushan's new share after surrendenng $\frac{1}{16}$ in favour of Sehzad =$\frac{2}{8}-\frac{1}{16}=\frac{4-1}{16}=\frac{3}{16}$ Chetan's new share afler surrendenng $\frac{3}{40}$ in favour of Sehzad =$\frac{3}{8}-\frac{3}{40}=\frac{15-3}{40}=\frac{12}{40}$ Sehzad's share is the total of $\frac{1}{8}$ from Arun, $\frac{1}{16}$ from Bhushan and $\frac{3}{40}$ from Chetan =$\frac{1}{8}+\frac{1}{16}+\frac{3}{40}=\frac{10+5+6}{80}=\frac{21}{80}$ Hence, New Ratio of Arun, Bhushan, Chetan and Sehzad is 2:1:1:1. Hence, the correct option is 4.
Question : The ratio in which a partner surrenders his share of profit in favour of partners is known as
Option 1: Capital ratio
Option 2: Gaining ratio
Option 3: New profit sharing ratio
Option 4: Sacrifice ratio
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 : 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
Question : If the new partner brings his share of goodwill in cash, it will be shared by old partners in -
Option 1: Old profit sharing ratio
Option 2: New profit sharing ratio
Option 3: Ratio of sacrifice
Option 4: In Capital ratio
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
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