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Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
- a)5 : 7 : 8
- b)20 : 49 : 64
- c)38 : 28 : 21
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three partners shared the profit in a business in the ratio 5 : 7 : 8....
Given, ratio of profit sharing = 5 : 7 : 8
Let the investments of the partners be 5x, 7x, and 8x respectively.
Total profit = profit of A + profit of B + profit of C
Let the profit of A be P.
Then, profit of B = 7/5P and profit of C = 8/5P
Now, let us calculate the time period for which the partners invested their money.
A invested for 14 months, B invested for 8 months and C invested for 7 months.
Total time period = 14 + 8 + 7 = 29 months
Now, we know that the profit is directly proportional to the time period.
Therefore, P/14 = 7/5P/8 = 8/5P/7
Solving the above equation, we get P = 14k, where k is a constant.
Therefore, profit of A = 14k, profit of B = 98k/35 and profit of C = 112k/35
Total profit = 14k + 98k/35 + 112k/35 = 84k/5
We know that the ratio of profit sharing is equal to the ratio of their investments.
Therefore, (14k)/(5x) = (98k/35)/(7x) = (112k/35)/(8x)
Solving the above equation, we get x = 4
Therefore, the investments of the partners are 5x = 20, 7x = 28, and 8x = 32.
Hence, the ratio of their investments is 20 : 49 : 64. Thus, option (b) is the correct answer.
Let the investments of the partners be 5x, 7x, and 8x respectively.
Total profit = profit of A + profit of B + profit of C
Let the profit of A be P.
Then, profit of B = 7/5P and profit of C = 8/5P
Now, let us calculate the time period for which the partners invested their money.
A invested for 14 months, B invested for 8 months and C invested for 7 months.
Total time period = 14 + 8 + 7 = 29 months
Now, we know that the profit is directly proportional to the time period.
Therefore, P/14 = 7/5P/8 = 8/5P/7
Solving the above equation, we get P = 14k, where k is a constant.
Therefore, profit of A = 14k, profit of B = 98k/35 and profit of C = 112k/35
Total profit = 14k + 98k/35 + 112k/35 = 84k/5
We know that the ratio of profit sharing is equal to the ratio of their investments.
Therefore, (14k)/(5x) = (98k/35)/(7x) = (112k/35)/(8x)
Solving the above equation, we get x = 4
Therefore, the investments of the partners are 5x = 20, 7x = 28, and 8x = 32.
Hence, the ratio of their investments is 20 : 49 : 64. Thus, option (b) is the correct answer.
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Community Answer
Three partners shared the profit in a business in the ratio 5 : 7 : 8....
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Then, 14x : 8y : 7z = 5 : 7 : 8.
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Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?a)5 : 7 : 8b)20 : 49 : 64c)38 : 28 : 21d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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