Question

A, B and C were partners in a firm sharing profits and losses in the ratio of `1/2:1/3:1/4`. D was admitted in the firm for `1/6"th"` share. C would retain his original share. The new profit sharing ratio will be ______.

पर्याय

• 12 : 8 : 5 : 5

• 21 : 14 : 18 : 12

• 21 : 14 : 15 : 10

• 2 : 2 : 1 : 1

Answer 1

A, B and C were partners in a firm, sharing profits and losses in the ratio of `1/2:1/3:1/4`. D was admitted in the firm for `1^"th"/6` share. C would retain his original share. The new profit sharing ratio will be 21 : 14 : 18 : 12.

Explanation:

D's Share = `1/6`

C's new share = Old Share = `1/4`

Remaining Share for A and B = `1 - [1/4 + 1/6]`

= `1 - [(3 + 2)/12]`

= `1 - 5/12`

= `(12 -5)/12`

= `7/12`

A's new share = `1/2 " of " 7/12 = 7/24`

B's new share = `1/3 " of " 7/12 = 7/36`

New share of A, B, C and D = `7/24:7/36:1/4:1/6`

= `21/72:14/72:18/72:12/72`

= 21 : 14 : 18 : 12