Partnership profit sharing after salaries

Steps:

• Total profit is $75,000; subtract Ann's$20,000 salary to get $55,000 before Bob's salary.
• Let Bob's salary be S; residual profit to share in 3:2 ratio is $55,000 - S.
• Ann's 3/5 share of residual equals $24,000: (3/5)(55,000 - S) = 24,000.
• Solve for S: 55,000 - S = 24,000 × (5/3) = 40,000; S = $15,000.

Why B is correct:

• $15,000 satisfies the equation where Ann's 3/5 residual share is exactly$24,000 after both salaries.

Why the others are wrong:

• A: $13,333 yields residual$41,667; Ann's 3/5 share = $25,000 >$24,000.
• C: $16,000 yields residual$39,000; Ann's 3/5 share = 24,000.

Final answer: B