Two partners, P and Q, initiate a commercial venture with their initial capitals in the ratio of 4:3. Five months into the business, P withdraws an amount of ₹8,000, while Q decides to double his contribution. Given that P's initial investment was ₹40,000 and the business generates an annual total profit of ₹60,000, determine P's share in the profit.

The correct answer is ₹25,600.

Step 1: Determine the initial investments of P and Q
It is given that the initial capitals of P and Q are in the ratio 4 : 3.
P's initial investment = ₹40,000.

Let the common ratio multiplier be $x$.
Since P's capital corresponds to 4 parts:

$4x=40000$

$x=10000$

Q's initial investment corresponds to 3 parts:

$\text{Q's initial capital}=3\times 10000=\text{₹30,000}$

Step 2: Calculate the total equivalent monthly investment for P
The commercial venture operates for 1 full year (12 months).
For the first 5 months, P's investment is ₹40,000.

$\text{Investment for first 5 months}=40000\times 5=\text{₹2,00,000}$

After 5 months, P withdraws ₹8,000.
P's capital for the remaining 7 months (12 - 5 = 7 months):

$\text{New Capital of P}=40000-8000=\text{₹32,000}$

$\text{Investment for remaining 7 months}=32000\times 7=\text{₹2,24,000}$

Total equivalent investment of P for 1 month:

$C_P=200000+224000=\text{₹4,24,000}$

Step 3: Calculate the total equivalent monthly investment for Q
For the first 5 months, Q's investment is ₹30,000.

$\text{Investment for first 5 months}=30000\times 5=\text{₹1,50,000}$

After 5 months, Q doubles his contribution.
Q's capital for the remaining 7 months:

$\text{New Capital of Q}=30000\times 2=\text{₹60,000}$

$\text{Investment for remaining 7 months}=60000\times 7=\text{₹4,20,000}$

Total equivalent investment of Q for 1 month:

$C_Q=150000+420000=\text{₹5,70,000}$

Step 4: Determine the ratio of profit shares between P and Q
The total profit is divided in the ratio of their equivalent monthly investments:

$\text{Ratio (P : Q)}=424000:570000=424:570=212:285$

Sum of total ratio parts:

$\text{Total Parts}=212+285=497$

Step 5: Compute P's share of the annual total profit
Total annual profit = ₹60,000.

$\text{P's share}=\left(\frac{212}{497}\right)\times 60000$

$\text{P's share}=\frac{12720000}{497}\approx \text{₹25,593.56}$

Rounding to the nearest option value:

$\text{P's share}\approx \text{₹25,600}$

Therefore, P's share in the total profit is ₹25,600.