Answer:
Hend's ownership percentage after Fatima is admitted is 28%.
Step-by-step explanation:
Since on Jan 1, Athari and Hend are partners with capital balances of 40,000 and 20,000 and they share profits and losses in the ratio of 3: 2 respectively, and on this date, Fatima invests 20,000 in cash for a 15 percent interest in the partnership, to determine Hend's ownership percentage after Fatima is admitted, the following calculation must be performed:
40,000 + 20,000 = 100%
100 - 15 = 85
60,000 = 85
20,000 = X
20,000 x 85 / 60,000 = X
28,333 = X
Therefore, Hend's ownership percentage after Fatima is admitted is 28%.