Q92. A invests Rs 6400 and B invests Rs 7200. After 4 months, A withdraws 30% of initial investment. C joins with 40% of B's init…

Question

Q92. A invests Rs 6400 and B invests Rs 7200. After 4 months, A withdraws 30% of initial investment. C joins with 40% of B's initial investment. After one year total profit = Rs 90,000. Find the combined profit of A and C (approx).

1. A. 48486
2. B. 42486
3. C. 44494 (Correct answer)
4. D. 57640
5. E. 77865

Correct Answer

Option C — 44494

Detailed Solution & Explanation

The correct answer is 44494.

Key Points

• A ratio: 6400×4 + (0.7×6400)×8 = 25600+35840 = 61440.
• B ratio: 7200×12 = 86400.
• C ratio: (0.4×7200)×8 = 23040. Total = 170880.
• (A+C) profit = [(61440+23040)/170880] × 90000 = (84480/170880) × 90000 ≈ 44494.