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A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
- a)10 : 10 : 9
- b)20 : 20 :19
- c)20 : 19 :18
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A, B and C enter into a partnership. A initially invests Rs. 25 lakhs ...
A : B : C
= (25 lakhs × 1) + 35 lakhs × 2) : (35 lakhs × 2 + 25 lakhs × 1) : (30 lakhs × 3)
= 95 lakhs : 95 lakhs : 90 lakhs
= 19 : 19 : 18
= (25 lakhs × 1) + 35 lakhs × 2) : (35 lakhs × 2 + 25 lakhs × 1) : (30 lakhs × 3)
= 95 lakhs : 95 lakhs : 90 lakhs
= 19 : 19 : 18
Most Upvoted Answer
A, B and C enter into a partnership. A initially invests Rs. 25 lakhs ...
Given, A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year, B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs.
Let's calculate the investment of A over 3 years.
For the first year, A invests Rs. 25 lakhs and for the next two years, he invests Rs. 35 lakhs.
So, the total investment of A = 25 + 35 + 35 = 95 lakhs.
Similarly, let's calculate the investment of B over 3 years.
For the first two years, B invests Rs. 35 lakhs and for the last year, his investment is Rs. 25 lakhs.
So, the total investment of B = 35 + 35 + 25 = 95 lakhs.
The investment of C over 3 years is Rs. 30 lakhs.
Therefore, the ratio of their investments is 95:95:30, which can be simplified to 19:19:6.
Now, let's calculate the profits for 3 years.
Let P be the total profit for 3 years.
For the first year, A gets 1/3 of the profit, B gets 1/3 of the profit and C gets 1/3 of the profit.
For the next two years, A gets 2/5 of the profit, B gets 2/5 of the profit and C gets 1/5 of the profit.
Therefore, the share of profit for A = (1/3)P + (2/5)P = (11/15)P
The share of profit for B = (1/3)P + (2/5)P = (11/15)P
The share of profit for C = (1/3)P + (1/5)P = (8/15)P
Therefore, the ratio of their profits is (11/15):(11/15):(8/15), which can be simplified to 11:11:8.
Hence, option D, None of these, is the correct answer.
Let's calculate the investment of A over 3 years.
For the first year, A invests Rs. 25 lakhs and for the next two years, he invests Rs. 35 lakhs.
So, the total investment of A = 25 + 35 + 35 = 95 lakhs.
Similarly, let's calculate the investment of B over 3 years.
For the first two years, B invests Rs. 35 lakhs and for the last year, his investment is Rs. 25 lakhs.
So, the total investment of B = 35 + 35 + 25 = 95 lakhs.
The investment of C over 3 years is Rs. 30 lakhs.
Therefore, the ratio of their investments is 95:95:30, which can be simplified to 19:19:6.
Now, let's calculate the profits for 3 years.
Let P be the total profit for 3 years.
For the first year, A gets 1/3 of the profit, B gets 1/3 of the profit and C gets 1/3 of the profit.
For the next two years, A gets 2/5 of the profit, B gets 2/5 of the profit and C gets 1/5 of the profit.
Therefore, the share of profit for A = (1/3)P + (2/5)P = (11/15)P
The share of profit for B = (1/3)P + (2/5)P = (11/15)P
The share of profit for C = (1/3)P + (1/5)P = (8/15)P
Therefore, the ratio of their profits is (11/15):(11/15):(8/15), which can be simplified to 11:11:8.
Hence, option D, None of these, is the correct answer.
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A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. 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. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. 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. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. 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. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. 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. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?a)10 : 10 : 9b)20 : 20 :19c)20 : 19 :18d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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