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A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?
  • a)
    Rs. 50000
  • b)
    Rs. 25000
  • c)
    Rs. 150000
  • d)
    Rs. 75000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A and B started a business with initial investments in the respective ...
Let the initial investment of A and B is 18x and 7x
After 4 months from the start of business,
A invest Rs. 2000 more for each eight months.
Then total investment of A

After 4 months, from the start of business,
B invest Rs. 7000 more for each eight months.
Total investment by B
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Most Upvoted Answer
A and B started a business with initial investments in the respective ...
Given:
- Initial investment ratio of A and B = 18 : 7
- Additional investment made by A after 4 months = Rs. 2000
- Additional investment made by B after 4 months = Rs. 7000
- Profit ratio at the end of one year = 2 : 1

To find: Total initial investment made by A and B

Let's solve this step by step:

Step 1: Calculate the ratio of their investments after 4 months
- A's initial investment ratio after 4 months = 18 * 4 = 72
- B's initial investment ratio after 4 months = 7 * 4 = 28
- A's additional investment after 4 months = Rs. 2000
- B's additional investment after 4 months = Rs. 7000

Step 2: Calculate the new investment ratio
- A's new investment ratio = 72 + 2000 = 2072
- B's new investment ratio = 28 + 7000 = 7028

Step 3: Calculate the profit ratio at the end of one year
- Total investment ratio = 2072 + 7028 = 9100
- A's profit ratio = (2072/9100) * 2 = 0.4549
- B's profit ratio = (7028/9100) * 2 = 1.5451

Step 4: Calculate the total profit
- Total profit = A's profit + B's profit = 0.4549 + 1.5451 = 2

Step 5: Calculate the total initial investment
- Total initial investment = (Total profit / Profit ratio) * Total investment ratio
= (2 / 2) * 9100
= 9100

Therefore, the total initial investment with which A and B started the business is Rs. 9100, which is not provided in the options. Hence, the given answer is incorrect.
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A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?a)Rs. 50000b)Rs. 25000c)Rs. 150000d)Rs. 75000Correct answer is option 'A'. Can you explain this answer?
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A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?a)Rs. 50000b)Rs. 25000c)Rs. 150000d)Rs. 75000Correct answer is option 'A'. 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 A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?a)Rs. 50000b)Rs. 25000c)Rs. 150000d)Rs. 75000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?a)Rs. 50000b)Rs. 25000c)Rs. 150000d)Rs. 75000Correct answer is option 'A'. Can you explain this answer?.
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