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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?
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?
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Most Upvoted Answer
A and B enter into a partnership and A investsRs. 15,000 in the partne...
Given:
A invested Rs. 15,000 initially
A withdrew Rs. 5,000 after 3 months
A withdrew Rs. 5,000 after another 5 months
B received Rs. 12,000 as his share of the profit
Total profit for the year = Rs. 23,500
To find:
How much did B invest in the company?
Solution:
Let's assume that B invested Rs. x initially.
Since A and B are partners, their profit sharing ratio is based on the amount of capital invested and the time period for which it has been invested.
Let's calculate the time period for which A had his investment in the partnership firm:
1. A invested Rs. 15,000 initially and did not withdraw anything for the first 3 months
2. After 3 months, A withdrew Rs. 5,000, so his investment for the remaining 9 months was Rs. 10,000
3. After another 5 months, A withdrew another Rs. 5,000, so his investment for the remaining 4 months was Rs. 5,000
Therefore, A's total investment for the year = Rs. 15,000 (initial investment) + Rs. 10,000 (investment for the next 9 months) + Rs. 5,000 (investment for the last 4 months) = Rs. 30,000
Now, let's calculate the profit sharing ratio of A and B:
A's investment was in the partnership for 3 months + 9 months + 4 months = 16 months
B's investment was in the partnership for the entire year (12 months)
So the profit sharing ratio of A and B is:
A:B = (15000*3 + 10000*9 + 5000*4) : (x*12)
A:B = 155000 : 12x
Given that B received Rs. 12,000 as his share of the profit, we can write:
B's share of profit = Total profit * B's profit sharing ratio
12000 = 23500 * (12x / (155000 + 12x))
Solving this equation for x, we get:
x = Rs. 10,000
Therefore, B invested Rs. 10,000 in the company.
A invested Rs. 15,000 initially
A withdrew Rs. 5,000 after 3 months
A withdrew Rs. 5,000 after another 5 months
B received Rs. 12,000 as his share of the profit
Total profit for the year = Rs. 23,500
To find:
How much did B invest in the company?
Solution:
Let's assume that B invested Rs. x initially.
Since A and B are partners, their profit sharing ratio is based on the amount of capital invested and the time period for which it has been invested.
Let's calculate the time period for which A had his investment in the partnership firm:
1. A invested Rs. 15,000 initially and did not withdraw anything for the first 3 months
2. After 3 months, A withdrew Rs. 5,000, so his investment for the remaining 9 months was Rs. 10,000
3. After another 5 months, A withdrew another Rs. 5,000, so his investment for the remaining 4 months was Rs. 5,000
Therefore, A's total investment for the year = Rs. 15,000 (initial investment) + Rs. 10,000 (investment for the next 9 months) + Rs. 5,000 (investment for the last 4 months) = Rs. 30,000
Now, let's calculate the profit sharing ratio of A and B:
A's investment was in the partnership for 3 months + 9 months + 4 months = 16 months
B's investment was in the partnership for the entire year (12 months)
So the profit sharing ratio of A and B is:
A:B = (15000*3 + 10000*9 + 5000*4) : (x*12)
A:B = 155000 : 12x
Given that B received Rs. 12,000 as his share of the profit, we can write:
B's share of profit = Total profit * B's profit sharing ratio
12000 = 23500 * (12x / (155000 + 12x))
Solving this equation for x, we get:
x = Rs. 10,000
Therefore, B invested Rs. 10,000 in the company.
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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 UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 UPSC 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?.
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 UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 UPSC 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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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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice UPSC tests.
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