In the abc partnership (to which daniel seeks admittance), the capital balances of albert, bert, and connell, who share income in the ratio of 5: 3: 2 are:
albert 5
bert 3
connell 2
based on the preceding information, what amount of goodwill will be recorded if daniel invests $450,000 for a one-third interest?
a. $0
b. $10,000
c. $50,000
d. $100,000

Option (c) is correct.

Explanation:

Given that,

Income sharing ratio = 5:3:2

Albert's capital = $500,000

Bert's capital = $300,000

Connell's capital = $200,000

If Daniel invests $450,000 for 1/3 rd interest then,

Total capital = $500,000  + $300,000  + $200,000

                     = $1,000,000

Therefore, total capital of the partnership will be;

=

= $1,500,000

So,

Share of Daniel will be = $1,500,000 – $1,000,000

                                      = $500,000

Hence,

Value of Goodwill = Share of Daniel - Amount invested by Daniel

                              = $500,000 - $450,000

                              = $50,000

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants