Question

D and E were partnership sharing profit and loss equally. They admit F as a partner who will share 1/4 of the future profit, while D and E will share the future profit based on their original ratio. As a result, what will be the new profit sharing ratio for D:E:F?​

Answer 1

ANSWER:
3:3:2

EXPLANATION:

We can start by transferring the rate at which D and E split the profit and loss equally.

Since they both get one half, D and E are represented by 1/2 or 50%

The equation for their portions is 1 = D + E

The new partner, F, takes 1/4 of the total profit

1 - 1/4 = F
3/4 = F


Next, we can determine how much of the loss and profits go to D and E

Since D and E are equal, we can sub D in for E

3/4 = D + E
3/4 = D + D
3/4 = 2D
3/4/2 =D
3/4(1/2) = D
3/8 = D

The ratio is 3/8: 3/8: 1/4

To get rid of fractions, multiple everything by 8:

3: 3: 2

Therefore, the ratio of D:E:F is 3:3:2