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Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1th/4 of his capital and Brianne withdrew 1th/5 of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?
  • a)
    $430
  • b)
    $330
  • c)
    $550
  • d)
    $770
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Andrew and Brianne started a partnership firm by investing their capi...
Let the capitals invested by Andrew and Brianne be $4x and $5x, respectively.
Since Andrew invested (¾) × 4x for 7 months,
So, annually equivalent of investment of Andrew = [3 × 4x] + [7 × 4x × (¾) ] = 33x
Since Brianne invested (⅘) × 5x for 7 months,
So, annually equivalent of investment of Brianne = [3 × 5x] + [(⅘) × 5x × 7] = 43x
Therefore,
Therefore,
Profit share of Andrew = (33/(33+43)) × 760 = $330
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Community Answer
Andrew and Brianne started a partnership firm by investing their capi...
Understanding the Investment and Withdrawals
- Andrew and Brianne's initial capital ratio: 4:5
- Let Andrew's capital be 4x and Brianne's capital be 5x.
Calculating the Initial Investment
- In 10 months, Andrew's capital for the first 3 months: 4x * 3 = 12x
- After 3 months, Andrew withdraws 1/4 of his capital:
- Remaining capital = 4x - (1/4) * 4x = 3x
- For the next 7 months, Andrew's capital: 3x * 7 = 21x
- Total contribution from Andrew = 12x + 21x = 33x
- For Brianne, her capital for the first 3 months: 5x * 3 = 15x
- After 3 months, Brianne withdraws 1/5 of her capital:
- Remaining capital = 5x - (1/5) * 5x = 4x
- For the next 7 months, Brianne's capital: 4x * 7 = 28x
- Total contribution from Brianne = 15x + 28x = 43x
Calculating Total Contribution
- Total capital contribution = Andrew's contribution + Brianne's contribution = 33x + 43x = 76x
Profit Distribution
- Total profit = $760
- Andrew's share of profit = (Andrew's contribution / Total contribution) * Total profit
Calculating Andrew's Share
- Andrew's share of profit = (33x / 76x) * 760
- Simplifying, Andrew's share = (33/76) * 760 = $330
Final Answer
- Andrew's share in the profit is $330, hence the correct option is (b).
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Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1th/4 of his capital and Brianne withdrew 1th/5 of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?a)$430b)$330c)$550d)$770Correct answer is option 'B'. Can you explain this answer?
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Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1th/4 of his capital and Brianne withdrew 1th/5 of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?a)$430b)$330c)$550d)$770Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1th/4 of his capital and Brianne withdrew 1th/5 of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?a)$430b)$330c)$550d)$770Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1th/4 of his capital and Brianne withdrew 1th/5 of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?a)$430b)$330c)$550d)$770Correct answer is option 'B'. Can you explain this answer?.
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