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A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A? 
  • a)
    Rs. 3240
  • b)
    Rs. 3600
  • c)
    Rs. 4200
  • d)
    Rs. 4500
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A is working and B is the sleeping partner in a business. A invests Rs...
A gets 10% of the profit for managing the business = 10% of 9600 = Rs. 960
Profit remaining = 9600 - 960 = Rs. 8640
Ratio in which they will share the remaining profit = 12 : 20 = 3 : 5
A's share = 960 + (3/8) 8640 = Rs. 4200
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Community Answer
A is working and B is the sleeping partner in a business. A invests Rs...
To solve this problem, we need to first calculate the shares of profit for A and B based on their investments, and then distribute the remaining profit in the ratio of their capitals.

Given:
A's investment = Rs. 12,000
B's investment = Rs. 20,000
Total profit = Rs. 9600

Calculating A's share of profit for managing:
A receives 10% of the profit for managing, so A's share = 10% of Rs. 9600
A's share = (10/100) * 9600 = Rs. 960

Calculating the remaining profit:
Remaining profit = Total profit - A's share
Remaining profit = 9600 - 960 = Rs. 8640

Calculating the ratio of their capitals:
Ratio of A's capital to B's capital = A's investment : B's investment
Ratio of A's capital to B's capital = 12,000 : 20,000
Ratio of A's capital to B's capital = 3 : 5

Distributing the remaining profit based on the ratio of their capitals:
A's share of the remaining profit = (3/8) * Remaining profit
A's share of the remaining profit = (3/8) * 8640
A's share of the remaining profit = Rs. 3240

Calculating the total amount received by A:
Total amount received by A = A's share for managing + A's share of the remaining profit
Total amount received by A = 960 + 3240 = Rs. 4200

Therefore, the amount received by A is Rs. 4200, which is option (c).
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A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A?a)Rs. 3240b)Rs. 3600c)Rs. 4200d)Rs. 4500Correct answer is option 'C'. Can you explain this answer?
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A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A?a)Rs. 3240b)Rs. 3600c)Rs. 4200d)Rs. 4500Correct 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 A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A?a)Rs. 3240b)Rs. 3600c)Rs. 4200d)Rs. 4500Correct 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 A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A?a)Rs. 3240b)Rs. 3600c)Rs. 4200d)Rs. 4500Correct answer is option 'C'. Can you explain this answer?.
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