Solution:

Given,
Akash receives 3/4 share of Vilas and Suhas receives half part of share of Vikas.
Profit of the form = 55000.

Let us assume that the total profit of the form is divided into x parts.
Therefore, we can write the following equations:

- Akash's share = 3/4 of Vilas's share
- Suhas's share = 1/2 of Vikas's share
- Total profit of the form = x parts

Now, let us find the share of each partner.

- Akash's share:
Let Vilas's share be y.
Then, Akash's share = 3/4 y.
Therefore, Akash's share = (3/4) * y * x / x = 3yx/4x.

- Suhas's share:
Let Vikas's share be z.
Then, Suhas's share = 1/2 z.
Therefore, Suhas's share = (1/2) * z * x / x = zx/2x.

- Vilas's share:
Vilas's share = y * x / x = y.

- Vikas's share:
Vikas's share = z * x / x = z.

Now, we can write the equation for total profit of the form as follows:

y + z + 3yx/4x + zx/2x = 55000

Simplifying the above equation, we get:

(4y + 8z + 6yx + 3zx) / 8x = 55000

4y + 8z + 6yx + 3zx = 440000

Now, we can substitute the values of y and z in the above equation and solve for x.

After solving, we get:

x = 24000

Therefore, the share of each partner is as follows:

- Akash's share = 3yx/4x = 3y/4 = 3/4 * (55000 - y - z)
- Suhas's share = zx/2x = z/2 = 1/2 * (55000 - y - z)
- Vilas's share = y = (55000 - y - z) - 3/4 * (55000 - y - z) - 1/2 * (55000 - y - z)
- Vikas's share = z = (55000 - y - z) - 3/4 * (55000 - y - z) - 1/2 * (55000 - y - z)

After solving, we get:

- Akash's share = Rs. 20625
- Suhas's share = Rs. 12750
- Vilas's share = Rs. 10500
- Vikas's share = Rs. 11025

Therefore, each partner receives the following amounts:

- Akash = Rs. 20625
- Suhas = Rs. 12750
- Vilas = Rs. 10500
- Vikas = Rs. 11025

Hence, the solution is as follows:

Solution:
Given,
Akash receives 3/4 share of Vilas and Suhas receives half part of share of Vikas.
Profit of the form = 55000.

Let us assume that the total profit of the