Question

Calculate the New Ratio.
Crow and Swan are partners sharing profits in the ratio of 5: 3. Peacock joins the firm as a new partner,
Crow gives 1/4th of his share and Swan gives 2/5ths of his share to the new partner.
Compute the New Ratio.
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Answer 1

Answer:

New ratio = 75:36:49

Explanation:

Old ratio=5:3

New share:-

Crow=5/8-(5/32)= 15/32

Swan=3/8-(6/40)=9/40

Peacock=5/32+6/40=49/160

New ratio= 15/32:9/40:49/160

= 75:36:49/160

Answer 2

Given:

• Crow and Swan are partners in a firm, sharing profits and losses in the ratio 5:3.
• Peacock joins the firm.
• Crows given 1/4th of his share to Peacock and Swan gives 2/5th of his share to Peacock.

To find: The new profit-sharing ratio.

Answer:

• Crow's old share = 5/8
• Swan's old share = 3/8
• Peacock's share = Sacrifice from Crow + Sacrifice from Swan

From Crow, Peacock gets:

• 5/8 × 1/4 = 5/32

From Swan, Peacock gets:

• 3/8 × 2/5 = 6/40

Calculation of the new profit-sharing ratio:

New ratio = Old ratio - Ratio surrendered

For Crow:

• New ratio = 5/8 - 5/32 = (20 - 5)/32 = 15/32, or 600/1280

For Swan:

• New ratio = 3/8 - 6/40 = (15 - 6)/40 = 9/40, or 288/1280

For Peacock:

• New ratio = 5/32 + 6/40 = (200 + 192)/1280 = 392/1280

Therefore, the new profit-sharing ratio is 600:288:392 or 75:36:49.