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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
- a)4 months
- b)5 months
- c)6 months
- d)8 months
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A began a business with Rs. 85,000. He was joined afterwards by B with...
Suppose B joined for x months. Then,
Then,
⇒ x =
= 8.
So, B joined for 8 months.
Then,
⇒ x =
= 8.So, B joined for 8 months.
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A began a business with Rs. 85,000. He was joined afterwards by B with...
Calculation of B's Joining Period:
To find out for how much period B joins the business, we need to follow these steps:
Step 1: Calculate the total profit
- Let the total profit at the end of the year be 'P'
- Given that the profits are divided in the ratio of 3:1, this means A gets 3 parts and B gets 1 part of the profit
- So, A's share = 3P/4 and B's share = P/4
Step 2: Calculate individual profits of A and B
- Let A's profit for the year = Rs. x
- B's profit for the year = Rs. y
Step 3: Calculate A and B's investments for the year
- A's investment for the year = Rs. 85,000 × 12 months
- B's investment for the year = Rs. 42,500 × t months (where 't' is the period B joined for)
Step 4: Set up the equation
- A's profit/A's investment = B's profit/B's investment
- x / (85,000 × 12) = y / (42,500 × t)
Step 5: Solve for 't'
- After substituting the values from Step 1, Step 2, and Step 3 into the equation, solve for 't'
- After solving, we get t = 8 months
Therefore, B joins the business for 8 months.
To find out for how much period B joins the business, we need to follow these steps:
Step 1: Calculate the total profit
- Let the total profit at the end of the year be 'P'
- Given that the profits are divided in the ratio of 3:1, this means A gets 3 parts and B gets 1 part of the profit
- So, A's share = 3P/4 and B's share = P/4
Step 2: Calculate individual profits of A and B
- Let A's profit for the year = Rs. x
- B's profit for the year = Rs. y
Step 3: Calculate A and B's investments for the year
- A's investment for the year = Rs. 85,000 × 12 months
- B's investment for the year = Rs. 42,500 × t months (where 't' is the period B joined for)
Step 4: Set up the equation
- A's profit/A's investment = B's profit/B's investment
- x / (85,000 × 12) = y / (42,500 × t)
Step 5: Solve for 't'
- After substituting the values from Step 1, Step 2, and Step 3 into the equation, solve for 't'
- After solving, we get t = 8 months
Therefore, B joins the business for 8 months.
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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer?
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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. 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 began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. 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 began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer?.
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. 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 began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. 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 began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer?.
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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?a)4 monthsb)5 monthsc)6 monthsd)8 monthsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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