Multiple choice

A, B and C enter into a partnership. A invests Rs. 4000/- for the whole year, B puts in Rs. 6000/- at first and increasing it to Rs. 8000/- at the end of 4 months, while C puts in at first Rs. 8000/- but withdraws Rs. 2000/- at the end of 9 months. If At thge end of the year the total profit of Rs. 16950 then Find the share of B ?

  1. 6600

  2. 3200

  3. 4400

  4. 4500

  5. 5500
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A Correct answer
Explanation

In partnership, profit is shared in ratio of investment × time. A: 4000 × 12 = 48000. B: 6000 × 4 + 8000 × 8 = 24000 + 64000 = 88000. C: 8000 × 9 + 6000 × 3 = 72000 + 18000 = 90000. Ratio A:B:C = 48:88:90 = 24:44:45. Total profit = 16950. B's share = (44/113) × 16950 = Rs. 6600.

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