Multiple choice

Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1 4 th of his capital and Brianne withdrew 1 5 th of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?

  1. $430
  2. $330
  3. $550
  4. $770
  5. $660
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B Correct answer
Explanation

Andrew's investment: (4*3) + (3*7) = 12 + 21 = 33. Brianne's investment: (5*3) + (4*7) = 15 + 28 = 43. Total ratio 33:43. Andrew's share = (33/76) * 760 = 330.

AI explanation

Let the initial investments be 4x and 5x; Andrew's effective capital is 4x for 3 months plus 3x for 7 months, which totals 33x. Brianne's effective capital is 5x for 3 months plus 4x for 7 months, totaling 43x, so their profit ratio is 33 to 43. Andrew's share of the 760 total profit is (33 / (33 + 43)) * 760, which calculates to 330.

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