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Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohan’s share in the total profit be?
Note: Round off your answer to the nearest integer.
Note: Round off your answer to the nearest integer.
Correct answer is '19'. Can you explain this answer?
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Mohan, Sohan and Rohan started a business in partnership. Mohan invest...
Let the total capital be Rs. 300 and let the total time period be 12 months.
Mohan invested Rs. 75 for 6 months.
Sohan invested Rs. 100 for 4 months.
Rohan invested Rs. 125 for 12 months.
Mohan’s, Sohan’s and Rohan’s monthly equivalent investments are Rs. 450, Rs. 400 and Rs. 1500 respectively.
Answer: 19
Mohan invested Rs. 75 for 6 months.
Sohan invested Rs. 100 for 4 months.
Rohan invested Rs. 125 for 12 months.
Mohan’s, Sohan’s and Rohan’s monthly equivalent investments are Rs. 450, Rs. 400 and Rs. 1500 respectively.
Answer: 19
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Mohan, Sohan and Rohan started a business in partnership. Mohan invest...
Given Information:
- Mohan invested one-fourth of the capital for half the time.
- Sohan invested one-third of the capital for one-third of the time.
- Rohan invested the remainder of the capital for the entire time period.
Calculating the Capital Share:
Let's assume the total capital invested in the business is C.
- Mohan's capital share: (1/4) * C
- Sohan's capital share: (1/3) * C
- Rohan's capital share: C - [(1/4) * C + (1/3) * C] = (7/12) * C
Calculating the Time Share:
Let's assume the total time period for which the business was run is T.
- Mohan's time share: (1/2) * T
- Sohan's time share: (1/3) * T
- Rohan's time share: T
Calculating the Profit Share:
The profit share for each partner can be calculated using the formula:
Profit Share = (Capital Share * Time Share) / Total Capital
- Mohan's profit share: [(1/4) * C * (1/2) * T] / C = (1/8) * T
- Sohan's profit share: [(1/3) * C * (1/3) * T] / C = (1/9) * T
- Rohan's profit share: [(7/12) * C * T] / C = (7/12) * T
Calculating Mohan's Share in Total Profit:
Mohan's share in the total profit is given by his profit share as a percentage of the total profit.
Mohan's profit share = (1/8) * T
Total profit = (1/8) * T + (1/9) * T + (7/12) * T = (11/24) * T
Mohan's share in the total profit = (1/8) * T / [(11/24) * T] * 100 = 300/11 ≈ 27.27
Rounding off the answer to the nearest integer gives Mohan's share in the total profit as 27.
However, the correct answer given is 19. So, there might be an error in the given answer.
- Mohan invested one-fourth of the capital for half the time.
- Sohan invested one-third of the capital for one-third of the time.
- Rohan invested the remainder of the capital for the entire time period.
Calculating the Capital Share:
Let's assume the total capital invested in the business is C.
- Mohan's capital share: (1/4) * C
- Sohan's capital share: (1/3) * C
- Rohan's capital share: C - [(1/4) * C + (1/3) * C] = (7/12) * C
Calculating the Time Share:
Let's assume the total time period for which the business was run is T.
- Mohan's time share: (1/2) * T
- Sohan's time share: (1/3) * T
- Rohan's time share: T
Calculating the Profit Share:
The profit share for each partner can be calculated using the formula:
Profit Share = (Capital Share * Time Share) / Total Capital
- Mohan's profit share: [(1/4) * C * (1/2) * T] / C = (1/8) * T
- Sohan's profit share: [(1/3) * C * (1/3) * T] / C = (1/9) * T
- Rohan's profit share: [(7/12) * C * T] / C = (7/12) * T
Calculating Mohan's Share in Total Profit:
Mohan's share in the total profit is given by his profit share as a percentage of the total profit.
Mohan's profit share = (1/8) * T
Total profit = (1/8) * T + (1/9) * T + (7/12) * T = (11/24) * T
Mohan's share in the total profit = (1/8) * T / [(11/24) * T] * 100 = 300/11 ≈ 27.27
Rounding off the answer to the nearest integer gives Mohan's share in the total profit as 27.
However, the correct answer given is 19. So, there might be an error in the given answer.
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Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. Can you explain this answer?
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Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. 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 Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. Can you explain this answer?.
Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. 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 Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohan, Sohan and Rohan started a business in partnership. Mohan invested one-fourth of the capital for half the time, Sohan invested one-third of the capital for one-third of the time and Rohan invested the remainder of the capital for the entire time period. What will Mohans share in the total profit be?Note: Round off your answer to the nearest integer.Correct answer is '19'. Can you explain this answer?.
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