Final answer:
A bonus given to old partners by a new partner is indeed added to the old partners' capital account balances, thereby increasing them; therefore, the statement is true.
Step-by-step explanation:
A bonus given to the old partners by a new partner increases the capital account balances of the old partners. This statement is true. When a new partner joins a partnership and contributes capital, part of that contribution can be allocated as a bonus to the existing partners as a way to compensate them for the established goodwill or to adjust for the value of the business. This bonus is then added to the old partners' capital accounts, thereby increasing their balances. The bonus recognizes the existing partners' contribution to the business and adjusts the equity accordingly, without directly changing the ownership proportions outlined in the new partnership agreement.
For example, if the new partner gives a bonus of $10,000 to the old partners, the new partner's capital account will decrease by $10,000, but the old partners' capital accounts will not change.