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A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?
  • a)
    2 : 3 : 5
  • b)
    3 : 4 : 7
  • c)
    4 : 5 :9
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 ...
A : B : C
(40000 × 36) :(80000 × 12 + 40000 × 24) : (120000 × 24 + 40000 × 12)
= 144 : 192 : 336
= 3 : 4 : 7
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Most Upvoted Answer
A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 ...
Solution:

Given:
A's investment = Rs. 40000
B's investment = Rs. 80000
C's investment = Rs. 120000

At the end of the first year, B withdraws Rs. 40000.
So, the total investment after B's withdrawal = (40000 + 80000 + 120000) - 40000 = Rs. 200000

At the end of the second year, C withdraws Rs. 80000.
So, the total investment after C's withdrawal = (40000 + 80000 + 120000) - 40000 - 80000 = Rs. 120000

Let's calculate the profit distribution for each year:

First Year:
A's share = (40000/200000) * Total profit
B's share = (80000/200000) * Total profit
C's share = (120000/200000) * Total profit

Second Year:
A's share = (40000/120000) * Total profit
B's share = 0 (as B has withdrawn his investment)
C's share = (80000/120000) * Total profit

Third Year:
A's share = (40000/120000) * Total profit
B's share = 0 (as B has withdrawn his investment)
C's share = (80000/120000) * Total profit

Now, let's simplify the fractions:

First Year:
A's share = 1/5 * Total profit
B's share = 2/5 * Total profit
C's share = 3/5 * Total profit

Second Year:
A's share = 1/3 * Total profit
C's share = 2/3 * Total profit

Third Year:
A's share = 1/3 * Total profit
C's share = 2/3 * Total profit

Now, let's add up the shares for each partner:

A's total share = (1/5 + 1/3 + 1/3) * Total profit = 7/15 * Total profit
B's total share = 2/5 * Total profit
C's total share = (3/5 + 2/3 + 2/3) * Total profit = 11/15 * Total profit

The ratio of profit sharing at the end of 3 years is:
A : B : C = 7/15 : 2/5 : 11/15

To simplify the ratio, let's multiply each fraction by 15:

A : B : C = 7 : 6 : 11

Therefore, the correct answer is option b) 3 : 4 : 7.
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A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?a)2 : 3 : 5b)3 : 4 : 7c)4 : 5 :9d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?a)2 : 3 : 5b)3 : 4 : 7c)4 : 5 :9d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?a)2 : 3 : 5b)3 : 4 : 7c)4 : 5 :9d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?a)2 : 3 : 5b)3 : 4 : 7c)4 : 5 :9d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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