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A, B and C started a business by investing Rs. 4x, 10x and 20x, respectively. A invested for 30 months, B
invested for 35 months and C invested for 22 months. A takes 20% of the profit for managing the business and
they divided the rest of the amount proportional to the product of the investment and the time of the
investment. If A got Rs. 6950 as his share in the profit, what was the total amount (in Rs.) of profit ?
Most Upvoted Answer
A, B and C started a business by investing Rs. 4x, 10x and 20x, respec...
Total Profit Calculation
To determine the total profit from the business, we first need to understand how A, B, and C share the profits after A receives his management fee.
Step 1: Calculate the Total Investment Contribution
- A's investment: Rs. 4x for 30 months = 120x
- B's investment: Rs. 10x for 35 months = 350x
- C's investment: Rs. 20x for 22 months = 440x
Step 2: Total Contribution
- Total contribution = A's contribution + B's contribution + C's contribution
- Total contribution = 120x + 350x + 440x = 910x
Step 3: Profit Distribution
- A receives 20% of the total profit (let's denote total profit as P).
- A's share from management = 0.2P
- Remaining profit for A, B, and C = 0.8P
Step 4: Calculate Individual Shares
- A's ratio = 120x / 910x
- B's ratio = 350x / 910x
- C's ratio = 440x / 910x
- A's share of remaining profit = (120/910) * 0.8P
- B's share of remaining profit = (350/910) * 0.8P
- C's share of remaining profit = (440/910) * 0.8P
Step 5: Total Share for A
- Total share for A = 0.2P + (120/910) * 0.8P
- A's total share = 0.2P + (96/910)P = (200+96)/910 * P = (296/910)P
Step 6: Setting Up the Equation
- Given A's share = Rs. 6950
- (296/910)P = 6950
Step 7: Calculate Total Profit (P)
- P = (6950 * 910) / 296
- P = Rs. 21,050
Conclusion
The total amount of profit, P, is Rs. 21,050.
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A, B and C started a business by investing Rs. 4x, 10x and 20x, respectively. A invested for 30 months, Binvested for 35 months and C invested for 22 months. A takes 20% of the profit for managing the business andthey divided the rest of the amount proportional to the product of the investment and the time of theinvestment. If A got Rs. 6950 as his share in the profit, what was the total amount (in Rs.) of profit ?
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A, B and C started a business by investing Rs. 4x, 10x and 20x, respectively. A invested for 30 months, Binvested for 35 months and C invested for 22 months. A takes 20% of the profit for managing the business andthey divided the rest of the amount proportional to the product of the investment and the time of theinvestment. If A got Rs. 6950 as his share in the profit, what was the total amount (in Rs.) of profit ? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A, B and C started a business by investing Rs. 4x, 10x and 20x, respectively. A invested for 30 months, Binvested for 35 months and C invested for 22 months. A takes 20% of the profit for managing the business andthey divided the rest of the amount proportional to the product of the investment and the time of theinvestment. If A got Rs. 6950 as his share in the profit, what was the total amount (in Rs.) of profit ? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C started a business by investing Rs. 4x, 10x and 20x, respectively. A invested for 30 months, Binvested for 35 months and C invested for 22 months. A takes 20% of the profit for managing the business andthey divided the rest of the amount proportional to the product of the investment and the time of theinvestment. If A got Rs. 6950 as his share in the profit, what was the total amount (in Rs.) of profit ?.
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