CUET Preparation Today
| X and Y are partners sharing profit in the ratio of 3 : 2. Z was admitted with 1/4 share in profits which he acquires equally from X and Y. The new ratio will be |
09:06:05 19:11:10 03:03:02 03:02:04 |
| 19:11:10 |
| X and Y are partners in a firm, sharing profits and losses in the ratio 3:2. Z was admitted into the firm for 1/4th share in profits, which he acquires equally from X and Y. To find: The new profit-sharing ratio. Answer: X's old share = 3/5 Y's old share = 2/5 Z's share = 1/4 Since Z acquires 1/4 from X and Y equally, half of 1/4, i.e., 1/4 ÷ 2 = 1/8 will be deducted from X's and Y's share. Calculation of the new profit-sharing ratio: New share = Old share - Sacrifice For X: New share = 3/5 - 1/8 = (24 - 5)/40 = 19/40 For Y: New share = 2/5 - 1/8 = (16 - 5)/40 = 11/40 For Z: New share = 1/4, or 10/40 Therefore, the new profit-sharing ratio is 19:11:10. |
