In a business venture, Partner A contributes ₹30,000 for a period of 12 months, whereas Partner B contributes ₹40,000 for a duration of 9 months. If the total profit earned at the end of the term is ₹28,000, calculate Partner A's portion of the profit.

The correct answer is ₹14,000.

Concept:
In a business partnership, profit is distributed among partners in proportion to the equivalent capital invested, which is the product of the capital contributed and the duration of the investment.

$\text{Profit Ratio}=({\text{Capital}}_{\text{A}}\times {\text{Time}}_{\text{A}}):({\text{Capital}}_{\text{B}}\times {\text{Time}}_{\text{B}})$

Step 1: Calculate the effective investment of each partner
For Partner A:
Capital contributed = ₹30,000
Time duration = 12 months

${\text{Effective Investment}}_{\text{A}}=30000\times 12=360000$

For Partner B:
Capital contributed = ₹40,000
Time duration = 9 months

${\text{Effective Investment}}_{\text{B}}=40000\times 9=360000$

Step 2: Find the ratio of profit sharing
The ratio of profit distribution between Partner A and Partner B is:

$\text{Ratio (A : B)}=360000:360000=1:1$

Since the ratio is 1 : 1, both partners are entitled to equal shares of the profit.

Step 3: Calculate Partner A's share of the profit
Total profit earned = ₹28,000

$\text{Partner A's Share}=\frac{1}{1+1}\times 28000$

$\text{Partner A's Share}=\frac{1}{2}\times 28000=14000$

Therefore, Partner A's portion of the profit is ₹14,000.