Question

Anita and Sunita are partners in a firm sharing profits in the ratio of 3 : 2 respectively. They admitted Vinita as a new partner for 1/4 share. The new profit sharing ratio between Anita and Sunita will be 2 : 1. Calculate their sacrificing ratio.​

Answer 1

Given data:

• Anita and Sunita are partners in a firm, sharing profits and losses in the ratio 3:2.
• Vinita is admitted for 1/4th of the shares.
• The new profit-sharing ratio for Anita and Sunita is 2:1.

To find: The sacrificing ratio.

Answer:

• Anita's old share = 3/5
• Sunita's old share = 2/5

• Anita's new share = 2/3
• Sunita's new share = 1/3

• Vinita's share = 1/4

Let the total profit be assumed as 1.

The remaining share [For Anita and Sunita] = 1 - 1/4 = 3/4

The remaining share will be distributed among Anita and Sunita in their new profit-sharing ratio.

Calculation of the new profit-sharing ratio:

New ratio = Remaining share × New ratio

For Anita:

• New ratio = 3/4 × 2/3 = 6/12

For Sunita:

• New ratio = 3/4 × 1/3 = 3/12

For Vinita:

• New ratio = 1/4, or 3/12

Therefore, the new profit-sharing ratio is 6:3:3, or 2:1:1.

Calculation of the sacrificing ratio:

Sacrificing ratio = Old ratio - New ratio:

For Anita:

• Sacrificing ratio = 3/5 - 2/4 = (12 - 10)/20 = 2/20

For Sunita:

• Sacrificing ratio = 2/5 - 1/4 = (8 - 5)/20 = 3/20

Therefore, the sacrificing ratio is 2:3.

Answer 2

Answer:

The sacrificing ratio is 2:3

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