Question

If A and B are sharing profits in the ratio of 3:2, admit C to ⅓rd share in the future profits, the profit sharing ratio will be A B C a, ⅖ ⁴/15 ⅓ b, ⅗ ⅖ ²/15 c, ⁴/15 ³/15 ²/15 d, none of these​

Answer 1

Explanation:

old ratio :

A: B = 3:2

or

A= 3/5

B= 2/5

admit C to ⅓rd share in the future profits

C = 1/3

suppose,

total profit = 1

1 - 1/3 = 2/3

Remaining share = 2/3

New profit sharing ratio =

A's new share = 2/3 × 3/5 = 6/15 (2/5)

B's new share = 2/3 × 2/5 = 4/15 (4/15)

C's share = 1\3 = 5/15 (1/3)

6/15 : 4/15 : 5/15 =

(2/5) : (4/15) : (1/3)

Hence , option (a), ⅖ ⁴/15 ⅓

the profit sharing ratio will be

A: B :C = ⅖ ⁴/15 ⅓ (6 : 4: 5)