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A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?
- a)Rs 12,000
- b)Rs 18,000
- c)Rs 15,050
- d)Rs 12,750
- e)Rs 15,800
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A starts a business with Rs 20,000 and after 4 months B also joins wit...
B) Rs 18,000 Explanation: Let B invests Rs x, then ratio of their profits 20000*12 : x*8 = 30,000 : x So 30,000/x = 5/3 Solve, x = 18,000
Most Upvoted Answer
A starts a business with Rs 20,000 and after 4 months B also joins wit...
Given:
- A invested Rs 20,000
- B joined after 4 months with some capital
- Profit is divided in the ratio 5:3 after a year
To find:
- How much did B invest?
Approach:
- Calculate the profit made by the business in a year
- Divide the profit in the ratio of 5:3 to find the share of A and B
- Use the share ratio to find the total investment made by both A and B
- Subtract A's investment to find B's investment
Solution:
Let's assume that B invested Rs x when he joined the business after 4 months.
We know that profit is divided in the ratio of 5:3. Therefore, let's assume that the total profit made by the business in a year is Rs y.
Profit share of A = (5/8) * y
Profit share of B = (3/8) * y
We also know that A invested Rs 20,000 for the entire year. Therefore, the total investment made by both A and B is:
- For A: Rs 20,000 * 12 months = Rs 2,40,000
- For B: Rs x * 8 months (since B joined after 4 months) = Rs 8x
Now, we can use the share ratio to find the total profit made by the business:
- (5/8) * y = Rs 2,40,000
- y = (8/5) * Rs 2,40,000
- y = Rs 3,84,000
Substituting the value of y, we can find the profit share of A and B:
- Profit share of A = (5/8) * Rs 3,84,000 = Rs 2,40,000
- Profit share of B = (3/8) * Rs 3,84,000 = Rs 1,44,000
Finally, we can use the profit share to find the total investment made by both A and B:
- For A: Rs 2,40,000 / (12 months * 1,000) = Rs 20
- For B: Rs 1,44,000 / (8 months * 1,000) = Rs 18
Therefore, B invested Rs 18,000 when he joined the business after 4 months.
Answer: Option B. Rs 18,000
- A invested Rs 20,000
- B joined after 4 months with some capital
- Profit is divided in the ratio 5:3 after a year
To find:
- How much did B invest?
Approach:
- Calculate the profit made by the business in a year
- Divide the profit in the ratio of 5:3 to find the share of A and B
- Use the share ratio to find the total investment made by both A and B
- Subtract A's investment to find B's investment
Solution:
Let's assume that B invested Rs x when he joined the business after 4 months.
We know that profit is divided in the ratio of 5:3. Therefore, let's assume that the total profit made by the business in a year is Rs y.
Profit share of A = (5/8) * y
Profit share of B = (3/8) * y
We also know that A invested Rs 20,000 for the entire year. Therefore, the total investment made by both A and B is:
- For A: Rs 20,000 * 12 months = Rs 2,40,000
- For B: Rs x * 8 months (since B joined after 4 months) = Rs 8x
Now, we can use the share ratio to find the total profit made by the business:
- (5/8) * y = Rs 2,40,000
- y = (8/5) * Rs 2,40,000
- y = Rs 3,84,000
Substituting the value of y, we can find the profit share of A and B:
- Profit share of A = (5/8) * Rs 3,84,000 = Rs 2,40,000
- Profit share of B = (3/8) * Rs 3,84,000 = Rs 1,44,000
Finally, we can use the profit share to find the total investment made by both A and B:
- For A: Rs 2,40,000 / (12 months * 1,000) = Rs 20
- For B: Rs 1,44,000 / (8 months * 1,000) = Rs 18
Therefore, B invested Rs 18,000 when he joined the business after 4 months.
Answer: Option B. Rs 18,000
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A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer?
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A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct 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 A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct 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 A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer?.
A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct 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 A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct 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 A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer?.
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A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?a)Rs 12,000b)Rs 18,000c)Rs 15,050d)Rs 12,750e)Rs 15,800Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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