A, B & C are partners sharing Profits & Losses in the ratio of 1:1:1. D is admitted as a new partner for 1/3rd share out of which he
acquires 1/6 from C and remaining in the ratio of 3:2 from A & B. calculate the new ratio
Answers
Explanation:
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Explanation:
★ Old Ratio :
A : B : C = 1 : 1 : 1
D is admitted as a new partner for 1/3rd share
- D's Share = 1/3
Out of which he acquires 1/6 from C and remaining in theratio of 3:2 from A & B.
- D's Share = 1/3
1/3 - 1/6 ( share given by C to D) = 1/6 (Remaining Share)
1/6
D acquired remaining share (1/6) in the ratio of 3:2 from A & B
A's share acquired by D =
3/5 × 1/6 = 3/30
B's share acquired by D =
2/5 × 1/6 = 2/30
A's new share =
1/3 - 3/30 = (10 - 3)/30
7/30
B's new share =
1/3 - 2/30 = (10 - 2)/30
8/30
C's new share =
1/3 - 1/6 (which D acquired from C)
(2 - 1)/6 = 1/6
D's share =
A's sacrifice share + B's sacrifice share + C's sacrifice share
3/30 + 2/30 + 1/6
3/30 + 2/30 + 5/30 = 10/30
New Ratio =
- A : B : C : D
- 7/30 : 8/30 : 1/6 : 10/30
- 7/30 : 8/30 : 5/30 : 10/30
7 : 8 : 5 : 10
Therefore, New Ratio =
A : B : C : D = 7 : 8 : 5 : 10