Multiple choice

A and B started a partnership investing amounts in the ratio 2: 3. After 6 months, C joined the partnership, with an amount equal to B. The profit at the end of one year should be distributed among A, B and C in the ratio

  1. $2: 3: 3$
  2. $4: 6: 3$
  3. $2: 6: 3$
  4. $3: 4: 5$
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B Correct answer
Explanation

Profit is distributed in proportion to capital × time. A invests 2x for 12 months = 24x; B invests 3x for 12 months = 36x; C joins after 6 months with B's amount (3x) for 6 months = 18x. Ratio A:B:C = 24:36:18, which simplifies to 4:6:3 by dividing by 6.

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