Question

archana ana tarun are partners sharing profits as 5:3 . they admit armaan for 1/4th share . sacrificing ratio of archana and tarun is 2:1. new ratio of Archana , tarun and armaan will be​

Answer 1

Answer:

Archana and Tarun PSR :- 5:3

Arman share :-1/4 th share

Sacrifice share of Archana and Tarun :-2:1

Archana sacrifice = 1/4 ×2/3 = 2/12

Tarun sacrifice = 1/4 ×1/3 = 1/12

find new share

new share = old share - sacrifice share

Archana new share = 5/8 - 2/12 = 11 /24

Tarun new share = 3/8 -1/12 = 7/24

Tarun share = 1/4 × 6/6 = 6/24

New share is = 11:7:6

Answer 2

The initial profit sharing ratio between Archana and Tarun is 5:3.

When Armaan is admitted for a 1/4th share, the total ratio becomes 8 + (1/4) = 8.25.

The sacrificing ratio between Archana and Tarun is 2:1, meaning Archana sacrifices 2 parts for every 1 part sacrificed by Tarun.

Let's assume Archana sacrifices x parts, then Tarun sacrifices x/2 parts. The new ratio of Archana and Tarun becomes (5-2x) : (3-x).

The new ratio of the three partners is (5-2x) : (3-x) : (1/4). We need to find x so that the new ratio becomes a simplified fraction.

Expanding the ratio, we get:

5-2x + 3-x + (1/4) = 8.25

Solving for x, we get:

x = 1

The new ratio of Archana, Tarun, and Armaan is (5-2x) : (3-x) : (1/4) = 3 : 2 : 1/4 = 12 : 8 : 1.

• Archana and Tarun are partners who originally share profits in a ratio of 5:3. They then admit Armaan as a partner and agree to give him a 1/4th share of the profits. To accommodate Armaan's share, Archana and Tarun need to sacrifice some of their own shares. The sacrificing ratio between Archana and Tarun is 2:1, meaning Archana sacrifices 2 parts for every 1 part that Tarun sacrifices.
• To find the new profit sharing ratio between the three partners, we need to first find how much Archana and Tarun will sacrifice. We can do this by assuming that Archana sacrifices x parts and then using the sacrificing ratio to find Tarun's sacrifice. This gives us the new ratio between Archana and Tarun.
• The new ratio of the three partners is the sum of the new ratio between Archana and Tarun and Armaan's share. The result shows that the new profit sharing ratio between Archana, Tarun, and Armaan is 12:8:1. This means that Archana will receive 12 parts of the profits, Tarun will receive 8 parts, and Armaan will receive 1 part.
• In conclusion, the admittance of Armaan as a partner and the agreed-upon sacrificing ratio between Archana and Tarun have resulted in a new profit sharing ratio of 12:8:1.

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