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Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
- a)7 : 6 : 10
- b)12 : 15 : 16
- c)42 : 45 : 56
- d)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Aman started a business investing Rs. 70,000. Rakhi joined him after s...
Aman : Rakhi : Sagar
= (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16.
= (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16.
Most Upvoted Answer
Aman started a business investing Rs. 70,000. Rakhi joined him after s...
To solve this problem, we need to calculate the ratio in which the profit will be distributed among Aman, Rakhi, and Sagar.
Let's calculate the profit earned by each individual first.
Aman invested Rs. 70,000 for 3 years, so his share of the profit will be (70,000 * 3).
Rakhi joined after 6 months, so she invested for 2.5 years. Her share of the profit will be (1,05,000 * 2.5).
Sagar joined after another 6 months, so he invested for 2 years. His share of the profit will be (1,40,000 * 2).
Now, let's calculate the total profit earned by the business.
Total investment = (70,000 * 3) + (1,05,000 * 2.5) + (1,40,000 * 2)
= 2,10,000 + 2,62,500 + 2,80,000
= 7,52,500
Now, let's calculate the ratio in which the profit will be distributed.
Ratio of Aman's share = (70,000 * 3) / 7,52,500
Ratio of Rakhi's share = (1,05,000 * 2.5) / 7,52,500
Ratio of Sagar's share = (1,40,000 * 2) / 7,52,500
Simplifying these ratios, we get:
Ratio of Aman's share = 21 / 50
Ratio of Rakhi's share = 25 / 50
Ratio of Sagar's share = 16 / 50
Since the ratios have common factors, we can simplify them further:
Ratio of Aman's share = 21 / 50 = 12 / 25
Ratio of Rakhi's share = 25 / 50 = 15 / 25
Ratio of Sagar's share = 16 / 50 = 16 / 50
Therefore, the ratio in which the profit will be distributed among Aman, Rakhi, and Sagar is 12 : 15 : 16.
Hence, the correct option is B) 12 : 15 : 16.
Let's calculate the profit earned by each individual first.
Aman invested Rs. 70,000 for 3 years, so his share of the profit will be (70,000 * 3).
Rakhi joined after 6 months, so she invested for 2.5 years. Her share of the profit will be (1,05,000 * 2.5).
Sagar joined after another 6 months, so he invested for 2 years. His share of the profit will be (1,40,000 * 2).
Now, let's calculate the total profit earned by the business.
Total investment = (70,000 * 3) + (1,05,000 * 2.5) + (1,40,000 * 2)
= 2,10,000 + 2,62,500 + 2,80,000
= 7,52,500
Now, let's calculate the ratio in which the profit will be distributed.
Ratio of Aman's share = (70,000 * 3) / 7,52,500
Ratio of Rakhi's share = (1,05,000 * 2.5) / 7,52,500
Ratio of Sagar's share = (1,40,000 * 2) / 7,52,500
Simplifying these ratios, we get:
Ratio of Aman's share = 21 / 50
Ratio of Rakhi's share = 25 / 50
Ratio of Sagar's share = 16 / 50
Since the ratios have common factors, we can simplify them further:
Ratio of Aman's share = 21 / 50 = 12 / 25
Ratio of Rakhi's share = 25 / 50 = 15 / 25
Ratio of Sagar's share = 16 / 50 = 16 / 50
Therefore, the ratio in which the profit will be distributed among Aman, Rakhi, and Sagar is 12 : 15 : 16.
Hence, the correct option is B) 12 : 15 : 16.
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Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect 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 Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect 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 Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect 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 Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect 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 Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?a)7 : 6 : 10b)12 : 15 : 16c)42 : 45 : 56d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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