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In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share is
- a)Rs. 1200
- b)Rs. 1600
- c)Rs. 1800
- d)Rs. 2000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a partnership business, A invests ⅙ th of the capital for ⅙ th of ...
Total investment by A = 1/6 × 1/6 = 1/36
Total investment by B = 1/4 × 1/4 = 1/16
Total investment by C = 1 – (1/6 + 1/4) = 7/12th of the capital for the whole time
Ratio of profit sharing will be 1/36 : 1/16 : 7/12.
Simplified ratio = 4 : 9 : 84
Therefore, B's share = (9/97) × 19,400 = Rs. 1800
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In a partnership business, A invests ⅙ th of the capital for ⅙ th of ...
In a partnership business, the profit is usually divided among the partners based on their investment and the time duration for which they have invested. In this given scenario, let's calculate B's share of the profit.
Investment and Time Duration:
- A invested ⅙ th of the capital for ⅙ th of the total time.
- B invested ¼ th of the capital for ¼ th of the total time.
- C invested the rest of the capital for the whole time.
Calculating Ratio of Investment and Time Duration:
To calculate the ratio, we need to find the common denominator for ⅙ and ¼ which is 12.
- A's ratio of investment = (⅙) x 12 = 2
- A's ratio of time duration = (⅙) x 12 = 2
- B's ratio of investment = (¼) x 12 = 3
- B's ratio of time duration = (¼) x 12 = 3
- C's ratio of investment = 12 - (2 + 3) = 7
- C's ratio of time duration = 12
Calculating B's Share of the Profit:
Now, we can calculate the share of the profit for each partner based on their ratio of investment and time duration.
- B's share of the profit = (B's ratio of investment / Total ratio of investment) x Total profit
= (3 / (2 + 3 + 7)) x 19400
= (3 / 12) x 19400
= 0.25 x 19400
= 4850
Therefore, B's share of the profit is Rs. 4850, which is not one of the given options.
Mistake in the Question:
As we can see, there is a mistake in the question. The calculated share of B's profit does not match any of the provided options. Therefore, we cannot determine B's actual share of the profit without the correct value.
Conclusion:
In conclusion, based on the given information and calculations, we cannot determine B's share of the profit as there is a mistake in the question.
Investment and Time Duration:
- A invested ⅙ th of the capital for ⅙ th of the total time.
- B invested ¼ th of the capital for ¼ th of the total time.
- C invested the rest of the capital for the whole time.
Calculating Ratio of Investment and Time Duration:
To calculate the ratio, we need to find the common denominator for ⅙ and ¼ which is 12.
- A's ratio of investment = (⅙) x 12 = 2
- A's ratio of time duration = (⅙) x 12 = 2
- B's ratio of investment = (¼) x 12 = 3
- B's ratio of time duration = (¼) x 12 = 3
- C's ratio of investment = 12 - (2 + 3) = 7
- C's ratio of time duration = 12
Calculating B's Share of the Profit:
Now, we can calculate the share of the profit for each partner based on their ratio of investment and time duration.
- B's share of the profit = (B's ratio of investment / Total ratio of investment) x Total profit
= (3 / (2 + 3 + 7)) x 19400
= (3 / 12) x 19400
= 0.25 x 19400
= 4850
Therefore, B's share of the profit is Rs. 4850, which is not one of the given options.
Mistake in the Question:
As we can see, there is a mistake in the question. The calculated share of B's profit does not match any of the provided options. Therefore, we cannot determine B's actual share of the profit without the correct value.
Conclusion:
In conclusion, based on the given information and calculations, we cannot determine B's share of the profit as there is a mistake in the question.
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In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. Can you explain this answer?
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In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. 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 In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. Can you explain this answer?.
In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. 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 In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a partnership business, A invests ⅙ th of the capital for ⅙ th of the total time, B invests ¼ th of the capital for ¼ th of the total time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 19,400, B's share isa)Rs. 1200b)Rs. 1600c)Rs. 1800d)Rs. 2000Correct answer is option 'C'. Can you explain this answer?.
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