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A and B enter into a partnership and A invests Rs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?
  • a)
    8,000
  • b)
    10,000
  • c)
    6,000
  • d)
    12,000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A and B enter into a partnership and A investsRs. 15,000 in the partne...
Given:
- A invests Rs. 15,000 in the partnership.
- A withdraws Rs. 5,000 after 3 months.
- A withdraws another Rs. 5,000 after 5 months.
- B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year.

Let's assume that B invested Rs. x in the company.

To find the amount invested by B, we need to calculate the capital remaining with A after his withdrawals.

Calculation:
1. A's investment: Rs. 15,000
2. A's first withdrawal after 3 months: Rs. 5,000
Remaining capital with A: Rs. 15,000 - Rs. 5,000 = Rs. 10,000
3. A's second withdrawal after 5 months: Rs. 5,000
Remaining capital with A: Rs. 10,000 - Rs. 5,000 = Rs. 5,000

Now, let's calculate B's investment and profit share.

1. Total profit for the year: Rs. 23,500
2. B's share of the profit: Rs. 12,000
3. A's share of the profit: Rs. 23,500 - Rs. 12,000 = Rs. 11,500
4. A's remaining capital: Rs. 5,000

Since the profit is divided in the ratio of their investments, we can set up the following equation:

B's share / A's share = B's investment / A's remaining capital

Substituting the values:

12,000 / 11,500 = x / 5,000

Cross multiplying:

12,000 * 5,000 = 11,500 * x
60,000,000 = 11,500x

Dividing both sides by 11,500:

x = 60,000,000 / 11,500
x ≈ 5,217.39

Therefore, B's investment in the company is approximately Rs. 5,217.39, which can be rounded to Rs. 10,000 (option B).
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Community Answer
A and B enter into a partnership and A investsRs. 15,000 in the partne...
The total profit for the year is 23,500. Of this B gets Rs. 12,000. Therefore, A would get (23,500−12,000) =Rs. 11,500
The partners split their profits in the ratio of their investments. Therefore, the ratio of the investments of,
A: B= 11500:12000 = 23:24. 
A invested Rs.15000 initially for a period of 3 months. Then, he withdrew Rs.5000.
Hence, his investment has reduced to Rs.10000 (for the next 5 months).
Then he withdraws another Rs.5000.
Hence, his investment will stand reduced to Rs.5000 during the last four months.
So, the amount of money that he had invested in the company on a money-month basis will be,
= (3 x 15000) + (5x 10000) + (4 x 5000)
= 45000+50000+20000 =115000
If A had 1,15,000 money months invested in the company, B would have had 1,20,000 money months invested in the company (as the ratio of their investments is 23:24). If B had 120000 money-months invested in the company, he has essentially invested
1,20,000/12 =10,000
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A and B enter into a partnership and A investsRs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?a)8,000b)10,000c)6,000d)12,000Correct answer is option 'B'. Can you explain this answer?
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A and B enter into a partnership and A investsRs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?a)8,000b)10,000c)6,000d)12,000Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A and B enter into a partnership and A investsRs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?a)8,000b)10,000c)6,000d)12,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B enter into a partnership and A investsRs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?a)8,000b)10,000c)6,000d)12,000Correct answer is option 'B'. Can you explain this answer?.
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