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A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?

Correct answer: C. Rs.6000

  • A. Rs.7500
  • B. Rs.7200
  • C. Rs.6000
  • D. Rs.5750

Explanation

Let A's capital be Rs.x. A contributes Rs.x x 12 months = Rs.12x-months, B contributes Rs.2x x 6 months = Rs.12x-months, and C contributes Rs.3x x 4 months = Rs.12x-months, so the profit is divided equally. A therefore receives Rs.18000 x 1/3 = Rs.6000. The likely mistake is option a, Rs.7500, which assigns A more than one-third without recognising that all three capital-time contributions are equal.

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