Correct option is C
To calculate B’s share of profit, we follow these steps:
Step 1: Compute A’s and B’s Capital Contributions Over Time
Initially,
- A invested Rs 10,000
- B invested Rs 6,400
After 5 months:
- A withdrew Rs 3,000, so his new capital became Rs 7,000 for the remaining 7 months.
- B added Rs 600, so his new capital became Rs 7,000 for the remaining 7 months.
Step 2: Compute the Total Capital Contribution (Weighted by Time)
Capital Months Contribution:
- A: (10,000 × 5) + (7,000 × 7) = 50,000 + 49,000 = 99,000
- B: (6,400 × 5) + (7,000 × 7) = 32,000 + 49,000 = 81,000
Step 3: Compute Profit Distribution
The total profit is Rs 16,000, and B receives 10% of this as salary:
B’s salary = (10% of 16,000) = Rs 1,600
The remaining profit for distribution:
16,000 - 1,600 = Rs 14,400
A’s share: (99,000 / (99,000 + 81,000)) × 14,400
= (99,000 / 180,000) × 14,400
≈ Rs 7,920
B’s share: (81,000 / 180,000) × 14,400
= (81,000 / 180,000) × 14,400
≈ Rs 6,480
Step 4: Compute B’s Total Earnings
B’s final amount = Salary + Profit Share
= 1,600 + 6,480 = Rs 8,080
Final Answer:
Option C) Rs 8,080
