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Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used ?
- a)10 months
- b)12 months
- c)14 months
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Swati and Rajni enter into a partnership with their capitals in the ra...
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Swati and Rajni enter into a partnership with their capitals in the ra...
Let's assume that Swati's capital is 5x and Rajni's capital is 6x.
Profit sharing ratio:
The profit is shared in the ratio of 5 : 9, which means Swati receives 5 parts of the profit and Rajni receives 9 parts.
Duration of investment:
Swati withdraws her capital at the end of 7 months. Therefore, Rajni's capital is used for the remaining duration.
Let's calculate the profit distribution:
Swati's share:
Swati's share of the profit is 5/14 of the total profit because the total profit is divided into 14 parts (5 + 9).
Swati's share = (5/14) * Total profit
Rajni's share:
Rajni's share of the profit is 9/14 of the total profit because the total profit is divided into 14 parts (5 + 9).
Rajni's share = (9/14) * Total profit
Since the profit is directly proportional to the duration of investment, we can say:
Swati's share / Rajni's share = Swati's duration / Rajni's duration
Let's substitute the values:
(5/14) * Total profit / (9/14) * Total profit = 7 / Rajni's duration
Simplifying the equation:
5 / 9 = 7 / Rajni's duration
Cross-multiplying:
5 * Rajni's duration = 9 * 7
Rajni's duration = (9 * 7) / 5
Rajni's duration = 63 / 5
Rajni's duration = 12.6 months
Since the duration of investment cannot be in decimal points, we can conclude that Rajni's capital was used for 12 months.
Therefore, the correct answer is option 'D' - None of these.
Profit sharing ratio:
The profit is shared in the ratio of 5 : 9, which means Swati receives 5 parts of the profit and Rajni receives 9 parts.
Duration of investment:
Swati withdraws her capital at the end of 7 months. Therefore, Rajni's capital is used for the remaining duration.
Let's calculate the profit distribution:
Swati's share:
Swati's share of the profit is 5/14 of the total profit because the total profit is divided into 14 parts (5 + 9).
Swati's share = (5/14) * Total profit
Rajni's share:
Rajni's share of the profit is 9/14 of the total profit because the total profit is divided into 14 parts (5 + 9).
Rajni's share = (9/14) * Total profit
Since the profit is directly proportional to the duration of investment, we can say:
Swati's share / Rajni's share = Swati's duration / Rajni's duration
Let's substitute the values:
(5/14) * Total profit / (9/14) * Total profit = 7 / Rajni's duration
Simplifying the equation:
5 / 9 = 7 / Rajni's duration
Cross-multiplying:
5 * Rajni's duration = 9 * 7
Rajni's duration = (9 * 7) / 5
Rajni's duration = 63 / 5
Rajni's duration = 12.6 months
Since the duration of investment cannot be in decimal points, we can conclude that Rajni's capital was used for 12 months.
Therefore, the correct answer is option 'D' - None of these.
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Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used ?a)10 monthsb)12 monthsc)14 monthsd)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used ?a)10 monthsb)12 monthsc)14 monthsd)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 Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used ?a)10 monthsb)12 monthsc)14 monthsd)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 Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used ?a)10 monthsb)12 monthsc)14 monthsd)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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