A invests ₹6,500 for 6 months; B invests ₹8,400 for 5 months; C invests ₹10,000 for 3 months. A, as the working partner, receives 5% of the profit as remuneration. If total profit is ₹7,400, what is B's share?

Problem restatement
First allocate 5% of the profit to the working partner (A). Distribute the remaining profit in the ratio of capital × time among A, B, C. Compute B's amount.

Given data

• Total profit = ₹7,400. Working partner (A) gets 5% = ₹370.
• Distributable remainder = ₹7,400 − ₹370 = ₹7,030.
• Capital-months:
  • A: 6,500 × 6 = 39,000
  • B: 8,400 × 5 = 42,000
  • C: 10,000 × 3 = 30,000

Concept/Approach
Shares of the remainder are proportional to 39,000 : 42,000 : 30,000 = 13 : 14 : 10.

Step-by-step calculation
Total parts = 13 + 14 + 10 = 37 Each part = 7,030 ÷ 37 = 190 B's share = 14 × 190 = ₹2,660

Verification
A's and C's shares of the remainder are 13×190 = ₹2,470 and 10×190 = ₹1,900 respectively. Adding A's remuneration: A gets ₹2,470 + ₹370 = ₹2,840; totals sum to ₹7,400.

Final Answer
₹2,660