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A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?
- a)6
- b)4
- c)3
- d)8
- e)5
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A invested Rs 76,000 in a business. After few months, B joined him wi...
Let B join after x month
On solving we get
x = 8 month.
Hence, the correct option is (d).
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A invested Rs 76,000 in a business. After few months, B joined him wi...
Given:
- A invested Rs 76,000 in a business.
- B joined after a few months with Rs 57,000.
- The total profit was divided between A and B in the ratio 2:1.
To find:
- After how many months did B join?
Solution:
Let's assume that B joined after x months.
Calculation:
Step 1: Calculate the profit ratio between A and B.
- The profit ratio is given as 2:1.
- This means that A's share is twice as much as B's share.
Step 2: Calculate the total investment of A and B.
- A invested Rs 76,000.
- B invested Rs 57,000.
- The total investment is the sum of their investments:
Total investment = Rs 76,000 + Rs 57,000 = Rs 1,33,000.
Step 3: Calculate the profit share of A and B.
- Since the profit ratio is 2:1, the total profit will be divided into 3 parts.
- A will get 2 parts and B will get 1 part.
- Let's assume the total profit is P.
A's share = (2/3) * P
B's share = (1/3) * P
Step 4: Calculate the profit share of A and B based on their investments.
- A's share is based on his investment of Rs 76,000.
- B's share is based on his investment of Rs 57,000.
- A's share is twice as much as B's share.
- Let's calculate A's and B's profit shares:
A's share = (76,000 / 1,33,000) * (2/3) * P
B's share = (57,000 / 1,33,000) * (1/3) * P
Step 5: Equate the profit shares of A and B.
- Since A's share is twice as much as B's share, we can equate them:
(76,000 / 1,33,000) * (2/3) * P = (57,000 / 1,33,000) * (1/3) * P
Step 6: Simplify the equation and solve for x.
- Cancel out common terms and simplify the equation:
76,000 * 2 = 57,000 * 1
1,52,000 = 57,000
Step 7: Solve for x.
- Divide both sides of the equation by 57,000:
1,52,000 / 57,000 = 1
Step 8: Calculate x.
- x = 8
Therefore, B joined after 8 months. Answer: Option (D).
- A invested Rs 76,000 in a business.
- B joined after a few months with Rs 57,000.
- The total profit was divided between A and B in the ratio 2:1.
To find:
- After how many months did B join?
Solution:
Let's assume that B joined after x months.
Calculation:
Step 1: Calculate the profit ratio between A and B.
- The profit ratio is given as 2:1.
- This means that A's share is twice as much as B's share.
Step 2: Calculate the total investment of A and B.
- A invested Rs 76,000.
- B invested Rs 57,000.
- The total investment is the sum of their investments:
Total investment = Rs 76,000 + Rs 57,000 = Rs 1,33,000.
Step 3: Calculate the profit share of A and B.
- Since the profit ratio is 2:1, the total profit will be divided into 3 parts.
- A will get 2 parts and B will get 1 part.
- Let's assume the total profit is P.
A's share = (2/3) * P
B's share = (1/3) * P
Step 4: Calculate the profit share of A and B based on their investments.
- A's share is based on his investment of Rs 76,000.
- B's share is based on his investment of Rs 57,000.
- A's share is twice as much as B's share.
- Let's calculate A's and B's profit shares:
A's share = (76,000 / 1,33,000) * (2/3) * P
B's share = (57,000 / 1,33,000) * (1/3) * P
Step 5: Equate the profit shares of A and B.
- Since A's share is twice as much as B's share, we can equate them:
(76,000 / 1,33,000) * (2/3) * P = (57,000 / 1,33,000) * (1/3) * P
Step 6: Simplify the equation and solve for x.
- Cancel out common terms and simplify the equation:
76,000 * 2 = 57,000 * 1
1,52,000 = 57,000
Step 7: Solve for x.
- Divide both sides of the equation by 57,000:
1,52,000 / 57,000 = 1
Step 8: Calculate x.
- x = 8
Therefore, B joined after 8 months. Answer: Option (D).
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A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer?
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A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer?.
A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A invested Rs 76,000 in a business. After few months, B joined him with Rs 57, 000. At the end of the year, the total profit was divided between them in the ratio 2:1, After how many months did B join?a)6b)4c)3d)8e)5Correct answer is option 'D'. Can you explain this answer?.
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