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A started a business with RS 52000 and after 4 months B joined with capital of RS 39000. At the end of the year out of total profits B received total RS 20000 including 25% of the profit as commission for managing the business. What amount did A received?
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A started a business with RS 52000 and after 4 months B joined with ca...
Simple, A Profit : B Profit =52×12 : 39×8=2:1.
profit of B = 9x/4×3 +3x/4 = 20000. 18x/12=20000.
x= 20000×12/18. A profit = 9×40000×2/3×12 =20000Ans.
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A started a business with RS 52000 and after 4 months B joined with ca...
Calculation of Profit and Distribution

  • Initial capital of A = RS 52000

  • Capital of B after 4 months = RS 39000

  • Total capital at the end of the year = RS 91000

  • Let the total profit for the year be x

  • B received 25% of the profit as commission for managing the business, which is RS 20000

  • Therefore, B's share of the profit after deducting the commission = (x/4) - 20000

  • A's share of the profit = (3x/4) + ((x/4) - 20000) = (7x/16) + 10000

  • To find A's share of the profit, we need to find the value of x



Calculation of Total Profit

  • A invested for the whole year, so his share in the profit is for the whole year

  • B invested for only 8 months (4 months + 8 months = 12 months)

  • Therefore, B's share in the profit is for 8/12 or 2/3 of the year

  • Let A's profit for the year be y

  • Then, B's profit for 8 months = (2/3) * (x - y)

  • Also, A's profit for the year = y

  • Therefore, total profit for the year = A's profit + B's profit for 8 months

  • Substituting the values, we get x = (3y/2) + (2/3) * (x - y)

  • Solving the equation, we get x = (9y/4)



Calculation of A's Share

  • Substituting the value of x in A's share of the profit, we get A's share = (7/16) * (9y/4) + 10000

  • Simplifying the expression, we get A's share = (63y/64) + 10000

  • Since B received RS 20000 as commission, his share in the profit after deducting the commission is (9y/16)

  • Therefore, A's share in the profit after deducting B's commission is (y/16)

  • Substituting the value of y, we get A's share in the profit = RS 16875



Conclusion

  • A received RS 16875 as his share in the profit

  • The total profit for the year was RS 67500

  • A invested RS 52000 for the whole year, while B invested RS 39000 for 8 months

  • B received RS 20000 as commission for managing the business
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Study the given information carefully to answer the question that follows:Anjali spent [A]% of her monthly income of ₹[B]. She distributed 30% of her monthly income among her cousins, Raj, Simran and Priya in the ratio of 4: 3: 3, respectively, 10% of her monthly income on buying books, and 25%% of her monthly income, she invested in share-market and rest she saved for herself.Annual income package of Anjali is ₹3.75₹3.75 lacs, in which 10% CGST and 10% SGST are charged as tax.Raj, Simran and Priya started a business together with 75%,80% and 60 respectively of their respective amount received from Anjali. After a year, they received a total profit of ₹2400. It is decided that Raj will be given [C]% of the total profit for taking care of all the administrative work. The profit share of Priya is ₹450.Raj invested the amount earned as profit from business partially in two different schemes, AA and BB in the ratio of 5: 45: 4, respectively. Scheme A offers simple interest at the rate of 12% 12% p.a., while scheme B offers simple interest at the rate of [D]%p.a., respectively. And after 2 years, he received a total interest of ₹300.The interest earned by Raj is used to buy tree saplings to plant trees on Environment Day. Raj and Simran together can plant 100 trees in 5 hours, the ratio of efficiency of Raj and Simran is 3: 2, respectively. Priya is 50% more efficient than Simran.Q. Find the number of trees Priya can plant in 1 hour.

Study the given information carefully to answer the question that follows:Anjali spent [A]% of her monthly income of ₹[B]. She distributed 30% of her monthly income among her cousins, Raj, Simran and Priya in the ratio of 4: 3: 3, respectively, 10% of her monthly income on buying books, and 25%% of her monthly income, she invested in share-market and rest she saved for herself.Annual income package of Anjali is ₹3.75₹3.75 lacs, in which 10% CGST and 10% SGST are charged as tax.Raj, Simran and Priya started a business together with 75%,80% and 60 respectively of their respective amount received from Anjali. After a year, they received a total profit of ₹2400. It is decided that Raj will be given [C]% of the total profit for taking care of all the administrative work. The profit share of Priya is ₹450.Raj invested the amount earned as profit from business partially in two different schemes, AA and BB in the ratio of 5: 45: 4, respectively. Scheme A offers simple interest at the rate of 12% 12% p.a., while scheme B offers simple interest at the rate of [D]%p.a., respectively. And after 2 years, he received a total interest of ₹300.The interest earned by Raj is used to buy tree saplings to plant trees on Environment Day. Raj and Simran together can plant 100 trees in 5 hours, the ratio of efficiency of Raj and Simran is 3: 2, respectively. Priya is 50% more efficient than Simran.Q. Find the total sum of the amount given by Anjali to Simran and the amount spent by Anjali on books.

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A started a business with RS 52000 and after 4 months B joined with capital of RS 39000. At the end of the year out of total profits B received total RS 20000 including 25% of the profit as commission for managing the business. What amount did A received?
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A started a business with RS 52000 and after 4 months B joined with capital of RS 39000. At the end of the year out of total profits B received total RS 20000 including 25% of the profit as commission for managing the business. What amount did A received? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A started a business with RS 52000 and after 4 months B joined with capital of RS 39000. At the end of the year out of total profits B received total RS 20000 including 25% of the profit as commission for managing the business. What amount did A received? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A started a business with RS 52000 and after 4 months B joined with capital of RS 39000. At the end of the year out of total profits B received total RS 20000 including 25% of the profit as commission for managing the business. What amount did A received?.
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