The sum of the shares sacrificed by the old partners is equal to the share given to . . . . . . . . .

Newly admitted partner
Retired partner
Old partner who is now going to retire
Executors of the deceased partner E. Insolvent partner

The correct answer is: A. Newly admitted partner.

When a new partner is admitted to a partnership, the old partners must sacrifice some of their share of the profits in order to make room for the new partner. The amount of the sacrifice is equal to the share of the profits that the new partner will receive.

Option B is incorrect because the retired partner is not receiving a share of the profits. Option C is incorrect because the old partner who is going to retire is not receiving a share of the profits. Option D is incorrect because the executors of the deceased partner are not receiving a share of the profits. Option E is incorrect because the insolvent partner is not receiving a share of the profits.

Here is a more detailed explanation of each option:

  • Option A: The newly admitted partner is receiving a share of the profits, which means that the old partners must sacrifice some of their share of the profits.
  • Option B: The retired partner is not receiving a share of the profits, so the old partners do not need to sacrifice any of their share of the profits.
  • Option C: The old partner who is going to retire is not receiving a share of the profits, so the old partners do not need to sacrifice any of their share of the profits.
  • Option D: The executors of the deceased partner are not receiving a share of the profits, so the old partners do not need to sacrifice any of their share of the profits.
  • Option E: The insolvent partner is not receiving a share of the profits, so the old partners do not need to sacrifice any of their share of the profits.
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