A and B are partners in a firm sharing profits and losses in the ratio of 3:2. C is admitted for 1/4th share in profits of the firm. Calculate new profit sharing ratio of the partners.
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Answers
Answer:
9:6:5
Solution:
Let there is a profit of 100 rupees.
Than Share of A will be 60 rupees and share of B will be 40 rupees.
But than a person C came and admitted I too want a part of the profit which is 1/4th of profit.
than A and B agreed and gave him 1/4th of 100 which is 25 now they are left with 75 rupees. and it is given that they share profit in ratio 3:2 hence A and B will divide 75 rupees in two parts
→ 45 and 30
hence Now
→ share of A is 45
→ share of B is 30
→ share of C is 25
resulting ratio 9:6:5
Note-
Answer on the base that A and B share profit in 3:2 always even after C comes.
Step-by-step explanation:
Old ratio (A and B) = 3 : 2
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4 = 3 : 3 : 2
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4 = 3 : 3 : 2Sacrificing ratio = Old ratio - New ratio
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4 = 3 : 3 : 2Sacrificing ratio = Old ratio - New ratioA's sacrifice = (3/5) - (3/8) = 9/24
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4 = 3 : 3 : 2Sacrificing ratio = Old ratio - New ratioA's sacrifice = (3/5) - (3/8) = 9/24B's sacrifice = (2/5) - (3/8) = 1/24
Old ratio (A and B) = 3 : 2C is admitted for 1/4 share Let the combined share of A, B and C = 1Combined share of A and B after C's admission = 1 - C's share = 1 - (1/4) = 3/4New share :A = (3/4) * (1/2) = 3/8B = (3/4) * (1/2) = 3/8C = 1/4 Therefore, A : B : C = 3/8 : 3/8 : 1/4 = 3 : 3 : 2Sacrificing ratio = Old ratio - New ratioA's sacrifice = (3/5) - (3/8) = 9/24B's sacrifice = (2/5) - (3/8) = 1/24Therefore, sacrificing ratio of A and b is 9 : 1.
hope it helps you out.