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Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Aman started a business investing Rs. 70000. Rakhi joined him after si...
Aman : Rakhi : Sagar
= (70000 × 36) : (105000 × 30) : (140000 × 24)
= 12 : 15 : 16
= (70000 × 36) : (105000 × 30) : (140000 × 24)
= 12 : 15 : 16
Most Upvoted Answer
Aman started a business investing Rs. 70000. Rakhi joined him after si...
Let's calculate the profit distribution step by step:
Step 1: Calculate the total investment
- Aman invested Rs. 70,000 for the entire 3-year period.
- Rakhi invested Rs. 1,05,000 for the last 2.5 years.
- Sagar invested Rs. 1,40,000 for the last 1.5 years.
To calculate the total investment, we need to consider the time period for each investment.
- Aman's investment is for the entire 3 years.
- Rakhi's investment is for the last 2.5 years.
- Sagar's investment is for the last 1.5 years.
So, the total investment will be:
Aman's investment = Rs. 70,000 × 3 = Rs. 210,000
Rakhi's investment = Rs. 1,05,000 × 2.5 = Rs. 262,500
Sagar's investment = Rs. 1,40,000 × 1.5 = Rs. 210,000
Total investment = Aman's investment + Rakhi's investment + Sagar's investment
= Rs. 210,000 + Rs. 262,500 + Rs. 210,000
= Rs. 682,500
Step 2: Calculate the profit distribution ratio
The profit distribution ratio is based on the ratio of investments made by Aman, Rakhi, and Sagar.
Aman's share = Aman's investment / Total investment
= Rs. 210,000 / Rs. 682,500
= 7/ 22
Rakhi's share = Rakhi's investment / Total investment
= Rs. 262,500 / Rs. 682,500
= 15 / 44
Sagar's share = Sagar's investment / Total investment
= Rs. 210,000 / Rs. 682,500
= 16 / 45
Therefore, the profit distribution ratio among Aman, Rakhi, and Sagar is 7:15:16.
So, the correct answer is option B) 12:15:16.
Step 1: Calculate the total investment
- Aman invested Rs. 70,000 for the entire 3-year period.
- Rakhi invested Rs. 1,05,000 for the last 2.5 years.
- Sagar invested Rs. 1,40,000 for the last 1.5 years.
To calculate the total investment, we need to consider the time period for each investment.
- Aman's investment is for the entire 3 years.
- Rakhi's investment is for the last 2.5 years.
- Sagar's investment is for the last 1.5 years.
So, the total investment will be:
Aman's investment = Rs. 70,000 × 3 = Rs. 210,000
Rakhi's investment = Rs. 1,05,000 × 2.5 = Rs. 262,500
Sagar's investment = Rs. 1,40,000 × 1.5 = Rs. 210,000
Total investment = Aman's investment + Rakhi's investment + Sagar's investment
= Rs. 210,000 + Rs. 262,500 + Rs. 210,000
= Rs. 682,500
Step 2: Calculate the profit distribution ratio
The profit distribution ratio is based on the ratio of investments made by Aman, Rakhi, and Sagar.
Aman's share = Aman's investment / Total investment
= Rs. 210,000 / Rs. 682,500
= 7/ 22
Rakhi's share = Rakhi's investment / Total investment
= Rs. 262,500 / Rs. 682,500
= 15 / 44
Sagar's share = Sagar's investment / Total investment
= Rs. 210,000 / Rs. 682,500
= 16 / 45
Therefore, the profit distribution ratio among Aman, Rakhi, and Sagar is 7:15:16.
So, the correct answer is option B) 12:15:16.
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Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)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 Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)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 Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)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 Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)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 Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 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 determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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