Partnership profit sharing: A, B, and C start a business by investing ₹ 28,000, ₹ 35,000, and ₹ 14,000, respectively. At the end of one full year, the total profit is ₹ 5,225. What is A's share of the profit, assuming profit is divided in the ratio of capital invested and the capital remained invested for the whole year?

Introduction / Context: Partnership problems in aptitude test how profits are divided among partners when capital contributions and time periods are known. Here, A, B, and C invest different amounts for a full year, so profit sharing is directly proportional to their invested capitals. We must compute A's share from the total profit of ₹ 5,225 using capital ratios.

Given Data / Assumptions:

• A invests ₹ 28,000 for the entire year.
• B invests ₹ 35,000 for the entire year.
• C invests ₹ 14,000 for the entire year.
• Total profit at year end = ₹ 5,225.
• All capitals remain invested for the same duration (1 year).
• Profit is divided in the ratio of (capital * time).

Concept / Approach: When time is equal, profit shares are in the ratio of capitals invested. Reduce the ratio to simplest terms, find total ratio units, then compute each partner's share = (individual ratio / total ratio) * total profit.

Step-by-Step Solution: Capitals: 28,000 : 35,000 : 14,000. Divide by 7,000 to simplify → 4 : 5 : 2. Total ratio units = 4 + 5 + 2 = 11. Value per unit = 5,225 / 11 = 475. A's share = 4 * 475 = ₹ 1,900.

Verification / Alternative check: Compute all shares: A = 4*475 = 1,900; B = 5*475 = 2,375; C = 2*475 = 950. Sum = 1,900 + 2,375 + 950 = 5,225, matching the total profit.

Why Other Options Are Wrong:

• ₹ 1,740, ₹ 1,775, ₹ 1,850, and ₹ 1,650 do not equal 4/11 of ₹ 5,225.
• They would break the proportionality implied by the 4 : 5 : 2 capital ratio.

Common Pitfalls:

• Dividing profit directly by the number of partners instead of using capital ratios.
• Forgetting to simplify the ratio or mis-adding ratio parts.
• Confusing total capital (sum) with the ratio approach.

Final Answer: ₹ 1,900