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A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit?
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A and b entered into partneship by investing rs. 45000 and rs. 60000 r...
Total Profit Calculation in Partnership
To determine the total profit made by A and B, we need to analyze their investment and the mistake made in profit sharing.
Investments of A and B
- A's investment: Rs. 45,000
- B's investment: Rs. 60,000
Investment Ratio
- Total Investment = A's Investment + B's Investment
= Rs. 45,000 + Rs. 60,000
= Rs. 1,05,000
- A's share in investment = 45,000 / 1,05,000 = 3/7
- B's share in investment = 60,000 / 1,05,000 = 4/7
Profit Sharing Mistake
- Given that the profit was divided in the ratio of 1:3, A received 1 part while B received 3 parts.
Loss to A
- A loses Rs. 500 due to this incorrect distribution.
Calculating Total Profit
Let the total profit be denoted as P.
- A’s correct share according to actual ratio should be (3/7)P
- B’s correct share should be (4/7)P
However, under the mistaken ratio:
- A receives (1/4)P
- B receives (3/4)P
The loss incurred by A can be calculated as:
- Correct Share of A - Mistaken Share of A
= (3/7)P - (1/4)P = Rs. 500
Finding a Common Denominator
To solve the equation, we find a common denominator (28):
- (12/28)P - (7/28)P = Rs. 500
- (5/28)P = Rs. 500
- P = Rs. 500 * (28/5)
- P = Rs. 2800
Conclusion
Thus, the total profit made by A and B before the mistake was Rs. 2800.
To determine the total profit made by A and B, we need to analyze their investment and the mistake made in profit sharing.
Investments of A and B
- A's investment: Rs. 45,000
- B's investment: Rs. 60,000
Investment Ratio
- Total Investment = A's Investment + B's Investment
= Rs. 45,000 + Rs. 60,000
= Rs. 1,05,000
- A's share in investment = 45,000 / 1,05,000 = 3/7
- B's share in investment = 60,000 / 1,05,000 = 4/7
Profit Sharing Mistake
- Given that the profit was divided in the ratio of 1:3, A received 1 part while B received 3 parts.
Loss to A
- A loses Rs. 500 due to this incorrect distribution.
Calculating Total Profit
Let the total profit be denoted as P.
- A’s correct share according to actual ratio should be (3/7)P
- B’s correct share should be (4/7)P
However, under the mistaken ratio:
- A receives (1/4)P
- B receives (3/4)P
The loss incurred by A can be calculated as:
- Correct Share of A - Mistaken Share of A
= (3/7)P - (1/4)P = Rs. 500
Finding a Common Denominator
To solve the equation, we find a common denominator (28):
- (12/28)P - (7/28)P = Rs. 500
- (5/28)P = Rs. 500
- P = Rs. 500 * (28/5)
- P = Rs. 2800
Conclusion
Thus, the total profit made by A and B before the mistake was Rs. 2800.
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A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit?
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A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit?.
A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b entered into partneship by investing rs. 45000 and rs. 60000 respectively. by mistake they divided the total profit in the ratio 1:3 hence a loses 500 . find the total profit?.
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