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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?
Verified 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.
Now,
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Most Upvoted Answer
Three partners shared the profit in a business in the ratio 5 : 7 : 8....
Given:
- Three partners shared the profit in the ratio 5 : 7 : 8
- They had partnered for 14 months, 8 months and 7 months respectively

To find: Ratio of their investments

Approach:
Let's assume the investments made by three partners be 5x, 7x, and 8x respectively.

Then, the profit will also be divided in the same ratio of 5 : 7 : 8.

Let's calculate the profit ratio for each partner.

Profit Ratio = (Investment * Time)

Partner 1 = 5x * 14 = 70x
Partner 2 = 7x * 8 = 56x
Partner 3 = 8x * 7 = 56x

Total Profit = 70x + 56x + 56x = 182x

Now, let's find the ratio of their investments.

Investment Ratio = 5x : 7x : 8x

Taking LCM of 5, 7, and 8 which is 280, we get:
Investment Ratio = 5x * 56 : 7x * 40 : 8x * 35
Investment Ratio = 280x : 280x : 280x

Simplifying the above ratio, we get:
Investment Ratio = 20 : 49 : 64

Hence, the ratio of their investments is 20 : 49 : 64.
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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?
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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 Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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 Quant 2024 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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