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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
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Community Answer
Raman and Tapan starts a business and invested Rs. 10,000 and Rs. 50,...
Given information:
Raman invests Rs. 10,000
Tapan invests Rs. 50,000
After 6 months, Raman invests another Rs. 10,000
After 6 months, Tapan withdraws Rs. 30,000
Business profits Rs. 10,000 in a year

Calculation:
Total investment by Raman = Rs. 10,000 + Rs. 10,000 = Rs. 20,000
Total investment by Tapan = Rs. 50,000 - Rs. 30,000 = Rs. 20,000

Ratio of investment = 20,000 : 20,000 = 1 : 1

Profit share of Raman = (1/2) * Rs. 10,000 = Rs. 5,000
Profit share of Tapan = (1/2) * Rs. 10,000 = Rs. 5,000

But Tapan withdrew Rs. 30,000 after 6 months, so his investment for the remaining 6 months = Rs. 20,000 - Rs. 30,000 = - Rs. 10,000

So, the profit share of Tapan will be negative for the remaining 6 months and positive for the first 6 months.

Profit share of Tapan for first 6 months = (1/2) * Rs. 10,000 = Rs. 5,000
Profit share of Tapan for remaining 6 months = (1/2) * (-Rs. 10,000) = - Rs. 5,000

Total profit share of Tapan = Rs. 5,000 - Rs. 5,000 = Rs. 0

But Tapan withdrew Rs. 30,000, so the net profit earned by Tapan = 0 - Rs. 30,000 = - Rs. 30,000

Therefore, Tapan incurred a loss of Rs. 30,000.

Answer: Option A (Rs. 7,000) is incorrect. None of the given options is correct.
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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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