Question

A and B are partners sharing profit and losses in the ratio 3:2. They decided to admit C as a partner for 1/4th share. New ratio and sacrificing ratio will be There is a option for above mentioned question (a) 9:7:6 , 3:2 (b) 3:2:1, 3:2 (c) 10:5:5 , 3:5​

Answer 1

Answer:

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share

Let the combined share of A, B and C = 1

Combined share of A and B after C’s admission = 1 – C’s share

= 1 – (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4

Therefore, A : B : C = 3/8 : 3/8 : 1/4

= 3 : 3 : 2

Sacrificing ratio = Old ratio – New ratio

A’s sacrifice = (3/5) – (3/8) = 9/24

B’s sacrifice = (2/5) – (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1

Answer 2

Answer:

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share

Let the combined share of A, B and C = 1

Combined share of A and B after C’s admission = 1 – C’s share

= 1 – (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4

Therefore, A : B : C = 3/8 : 3/8 : 1/4

= 3 : 3 : 2

Sacrificing ratio = Old ratio – New ratio

A’s sacrifice = (3/5) – (3/8) = 9/24

B’s sacrifice = (2/5) – (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1