Managing partner’s commission with remaining profit shared by capital: Anil (active) invests ₹ 12,000, Vimal (sleeping) invests ₹ 20,000. Anil gets 10% of total profit for managing; the remaining profit is shared in the ratio of capitals. If total profit is ₹ 9,000, how much does Anil receive?

Introduction / Context:
In partnerships with a managing partner, a fixed percentage of the total profit may be paid as commission before the remainder is split by capital ratios. This two-stage allocation must be handled sequentially to avoid errors in the final amounts received by each partner.

Given Data / Assumptions:

• Anil capital = ₹ 12,000; Vimal capital = ₹ 20,000.
• Total profit = ₹ 9,000.
• Managing commission for Anil = 10% of total profit.
• Remaining profit divided in ratio 12,000 : 20,000 = 3 : 5.

Concept / Approach:
First deduct the 10% commission from total profit; then share the balance by the capital ratio. Add the commission back to Anil’s share from the remainder to get his total receipt.

Step-by-Step Solution:

Verification / Alternative check:
Vimal’s share of balance = 8,100 * (5/8) = ₹ 5,062.50. Sum with Anil’s 3,937.50 equals ₹ 9,000 total profit, confirming correctness.

Why Other Options Are Wrong:
₹ 4,500, ₹ 4,800, and ₹ 4,600 assume different commission handling or equal division; ₹ 4,200 miscomputes the capital-based split.

Common Pitfalls:
Sharing first then taking commission, or taking 10% of the remaining profit rather than 10% of the total, as specified.

Final Answer:
₹ 3937.5