Rohan started a business with Sohan with the investment of Rs.40000 and Rs.36000 respectively. At the end of 1 year, Rohan withdraws one-fourth of capital what he invested earlier and at the end of 2 years Sohan adds Rs.4000 more in the business and a new person Mohan with the investment of Rs.50000 also joins the business at the end of 2 years. At the end of 5 years total profit earned form the business is Rs.15000, from which 16(1/3) % is given to Rohan for managing and directing the business. Find the total share of Rohan in the profit.a)Rs.4800b)Rs.2450c)Rs.6450d)Rs.4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?

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Rohan started a business with Sohan with the investment of Rs.40000 and Rs.36000 respectively. At the end of 1 year, Rohan withdraws one-fourth of capital what he invested earlier and at the end of 2 years Sohan adds Rs.4000 more in the business and a new person Mohan with the investment of Rs.50000 also joins the business at the end of 2 years. At the end of 5 years total profit earned form the business is Rs.15000, from which 16(1/3) % is given to Rohan for managing and directing the business. Find the total share of Rohan in the profit.

a)
Rs.4800
b)
Rs.2450
c)
Rs.6450
d)
Rs.4000
e)
None of these

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

Rohan started a business with Sohan with the investment of Rs.40000 a...

Ratio of their profit = (40000 * 1 + 30000 * 4) : (36000 * 2 + 40000 * 3) : (50000 * 3) = 80 : 96 : 75

Profit earned by Rohan for managing the business = 16(1/3)% of 15000 = Rs.2450

Remaining profit = 15000 - 2450 = Rs.12550

Share of Rohan = 12550 * 80/(80+96+75) = Rs.4000

Total profit earned by Rohan = 2450 + 4000 = Rs.6450

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Most Upvoted Answer

Rohan started a business with Sohan with the investment of Rs.40000 a...

Given:
Investment by Rohan = Rs. 40000
Investment by Sohan = Rs. 36000
Investment by Mohan = Rs. 50000

At the end of 1 year:
Rohan withdraws 1/4th of his capital = Rs. (1/4) * 40000 = Rs. 10000

At the end of 2 years:
Sohan adds Rs. 4000 more to the business.
Mohan joins the business with an investment of Rs. 50000.

Total investment at the end of 2 years:
Rohan's investment = Rs. (40000 - 10000) = Rs. 30000
Sohan's investment = Rs. (36000 + 4000) = Rs. 40000
Mohan's investment = Rs. 50000

At the end of 5 years:
Total profit earned = Rs. 15000

Profit distribution:
Rohan receives 16(1/3)% of the profit for managing and directing the business.

To find the total share of Rohan in the profit, we need to calculate his share based on his investment.

Let's calculate the share of profit for each partner:

Rohan's share:
Rohan's investment = Rs. 30000
Rohan's share = (Rohan's investment / Total investment) * Total profit
= (30000 / (30000 + 40000 + 50000)) * 15000
= (30000 / 120000) * 15000
= 1/4 * 15000
= Rs. 3750

Sohan's share:
Sohan's investment = Rs. 40000
Sohan's share = (Sohan's investment / Total investment) * Total profit
= (40000 / (30000 + 40000 + 50000)) * 15000
= (40000 / 120000) * 15000
= 1/3 * 15000
= Rs. 5000

Mohan's share:
Mohan's investment = Rs. 50000
Mohan's share = (Mohan's investment / Total investment) * Total profit
= (50000 / (30000 + 40000 + 50000)) * 15000
= (50000 / 120000) * 15000
= 5/12 * 15000
= Rs. 6250

Rohan's total share in the profit:
Rohan's share for managing and directing = 16(1/3)% of the profit
= (16(1/3)/100) * 15000
= 1/6 * 15000
= Rs. 2500

Rohan's total share = Rohan's share + Rohan's share for managing and directing
= 3750 + 2500
= Rs. 6250

Therefore, the total share of Rohan in the profit is Rs. 6250.

Answered by Wizius Careers · View profile

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Rohan started a business with Sohan with the investment of Rs.40000 and Rs.36000 respectively. At the end of 1 year, Rohan withdraws one-fourth of capital what he invested earlier and at the end of 2 years Sohan adds Rs.4000 more in the business and a new person Mohan with the investment of Rs.50000 also joins the business at the end of 2 years. At the end of 5 years total profit earned form the business is Rs.15000, from which 16(1/3) % is given to Rohan for managing and directing the business. Find the total share of Rohan in the profit.a)Rs.4800b)Rs.2450c)Rs.6450d)Rs.4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Rohan started a business with Sohan with the investment of Rs.40000 and Rs.36000 respectively. At the end of 1 year, Rohan withdraws one-fourth of capital what he invested earlier and at the end of 2 years Sohan adds Rs.4000 more in the business and a new person Mohan with the investment of Rs.50000 also joins the business at the end of 2 years. At the end of 5 years total profit earned form the business is Rs.15000, from which 16(1/3) % is given to Rohan for managing and directing the business. Find the total share of Rohan in the profit.a)Rs.4800b)Rs.2450c)Rs.6450d)Rs.4000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rohan started a business with Sohan with the investment of Rs.40000 and Rs.36000 respectively. At the end of 1 year, Rohan withdraws one-fourth of capital what he invested earlier and at the end of 2 years Sohan adds Rs.4000 more in the business and a new person Mohan with the investment of Rs.50000 also joins the business at the end of 2 years. At the end of 5 years total profit earned form the business is Rs.15000, from which 16(1/3) % is given to Rohan for managing and directing the business. Find the total share of Rohan in the profit.a)Rs.4800b)Rs.2450c)Rs.6450d)Rs.4000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.

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