James and Daniel are owners of J.D chemicals shared their end of the year profit in the ratio of 4:6.if Daniel got $4000 more than James, Calculate their total annual profit

Answer 1

Options
A.N22,000
B.N14,000
C.N16,000
D.N20,000?

Answer 2

J = James´s profit

D = Daniel´ s profit

Daniel got $4000 more than James mean:

D = J + 4000

J / D = 4 / 6 = 2 ∙ 2 / 2 ∙ 3 = 2 / 3

J / D = 2 / 3

Cros multiply

3 J = 2 D

Divide both sides by 2

3 J / 2 = D

D = 3 J / 2

D = J + 4000

D = D

3 J / 2 = J + 4000

Subtract J to both sides

3 J / 2 - J = 4000

3 J / 2 - 2 J / 2 = 4000

J / 2 = 4000

Multiply both sides by 2

J = $ 8000

D = J + 4000 = 8000 + 4000

D = $ 12000

Total profit = J + D = $ 8000 + $ 12000 = $ 20000

Proof:

J / D = 8000 / 12000 = 4000 ∙ 2 / 4000 ∙ 3 = 2 / 3

D = $ 12000 = J + $ 4 000 = $ 8000 + $ 4000

Answer 3

Jame's profit --- 4x
Daniel's profit --- 6x
6x-4x = 4000
x = 2000

total profit = 10x = 20,000

Answer 4

James got $X.
Daniel got $(x+4,000).

x/(x+4,000) = 4/6,
6x = 4x + 16,000,
X = $8,000.
x+4000 = 8,000 + 4,000 = $12,000.

Total profit = 8,000 + 12,000 = $20,000.