hard · GMAT Quant

Partners A and B begin a year with investments totaling $10,000. After 4 months, A increases A's investment by 50%; after 6 months, B withdraws 25% of B's investment. Profit is divided in proportion to capital multiplied by time, and A's share to B's is 64:63. In the next year they begin with the same respective investments, but A increases after 6 months and B withdraws after 4 months. A partner whose invested balance is ever strictly below $4,500 during that next year forfeits 20% of that partner's otherwise calculated profit share to the other partner.

What fraction of next year's profit does A finally receive?

  1. dfrac38
  2. dfrac25
  3. dfrac716
  4. dfrac12
  5. dfrac35

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