pand Q are partners sharing profit or loss in the ratio of 4 : 1. P surrenders 1/6 from his
share and Q surrenders 1/4 of his share in favour of R, a new partner. What will be the Rºs
share?
(A) 5/12
(C) 13/60
(B) 11/60
(D) 7/12
>
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Given:
- P and Q are partners in a firm, sharing profits and losses in the ratio 4:1.
- P surrenders 1/6 from his share and Q surrenders 1/4 of his share in favour of the new partner, R.
To find: R's share.
Answer:
- P's old share = 4/5
- Q's old share = 1/5
- From P, R gets 1/6.
- From Q, R gets 1/5 × 1/4 = 1/20.
- R's share = Sacrifice by P + Sacrifice by Q
Calculation of the new profit-sharing ratio:
New share = Old share - Sacrifice made
For P:
- New share = 4/5 - 1/6 = (24 - 5)/30 = 19/30, or 190/300
For Q:
- New share = 1/5 - 1/20 = (20 - 5)/100 = 15/100, or 45/300
For R:
- New share = 1/6 + 1/20 = (20 + 6)/120 = 26/120, or 65/300
The new profit-sharing ratio is 190:45:65 or 38:9:13 and R's share is (C) 13/60.
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