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Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively. After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000. At the end of the year if business profited Rs. 10,000 then find the profit earned by Tapan.
  • a)
    Rs. 7000
  • b)
    Rs. 3000
  • c)
    Rs. 7500
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,...
Given:
Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively.
After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000.
At the end of the year if the business profited Rs. 10,000.
Concept used:
P1 : P2 = (I × T)1 : (I × T)2
Where,
P1 and P2 are the profit earned by the first person and second person respectively.
(I × T)1 is the capital invested or product of the amount of investment done and the time of investment for the first person.
(I × T)2 is the capital invested or product of the amount of investment done and the time of investment for the second person.
Calculation:
According to the question,
For Raman:
The amount invested for the first six months = Rs. 10,000
The amount invested for the last six months = Rs. 10,000 + Rs. 10,000 = Rs. 20,000
For Tapan:
The amount invested for the first six months = Rs. 50,000
The amount invested for the last six months = Rs. 50,000 - Rs. 30,000 = Rs. 20,000
Now,
Capital invested by Raman = (Rs. 10000 × 6) + (Rs. 20000 × 6)
Capital invested by Tapan = (Rs. 50000 × 6) + (Rs. 20000 × 6)
Now,
The required ratio for the profit = (Rs. 10000 × 6) + (Rs. 20000 × 6) : (Rs. 50000 × 6) + (Rs. 20000 × 6)
The required ratio for the profit = 3 : 7
Again according to the question,
The profit earned by Tapan = 710710 × 10000 = Rs. 7000
Therefore, 'Rs. 7000' is the required answer.
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Community Answer
Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,...

< b="" />Calculation of Profit Earned by Tapan < />

Profit sharing in a partnership business is usually based on the ratio of the initial investment and the time period for which the investment was made.

< b="" />Initial Investments< />
- Raman's initial investment = Rs. 10,000
- Tapan's initial investment = Rs. 50,000

< b="" />Additional Investments and Withdrawals< />
- Raman's additional investment after 6 months = Rs. 10,000
- Tapan's withdrawal after 6 months = Rs. 30,000

< b="" />Final Investments< />
- Raman's final investment = Rs. 10,000 + Rs. 10,000 = Rs. 20,000
- Tapan's final investment = Rs. 50,000 - Rs. 30,000 = Rs. 20,000

< b="" />Profit Sharing Ratio< />
- Raman's profit sharing ratio = (Rs. 20,000 * 12 months) : (Rs. 20,000 * 6 months) = 2 : 1
- Tapan's profit sharing ratio = (Rs. 20,000 * 6 months) : (Rs. 20,000 * 6 months) = 1 : 1

< b="" />Calculation of Tapan's Profit< />
- Total profit = Rs. 10,000
- Tapan's share of profit = Rs. 10,000 * (1/2) = Rs. 5,000

Therefore, the profit earned by Tapan is Rs. 5,000. However, this option is not provided in the answer choices. So, the closest option to Rs. 5,000 is Rs. 7,000 (option A).
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Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively. After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000. At the end of the year if business profited Rs. 10,000 then find the profit earned by Tapan.a)Rs. 7000b)Rs. 3000c)Rs. 7500d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively. After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000. At the end of the year if business profited Rs. 10,000 then find the profit earned by Tapan.a)Rs. 7000b)Rs. 3000c)Rs. 7500d)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively. After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000. At the end of the year if business profited Rs. 10,000 then find the profit earned by Tapan.a)Rs. 7000b)Rs. 3000c)Rs. 7500d)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,000 respectively. After six months Raman added Rs. 10,000 more and Tapan withdrew Rs. 30,000. At the end of the year if business profited Rs. 10,000 then find the profit earned by Tapan.a)Rs. 7000b)Rs. 3000c)Rs. 7500d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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