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Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each?
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Ab and C enter into a partnership firm by investing in the ratio of 3:...
Initial Investment Calculation in a Partnership Firm
Given:
- Initial investment ratio of Ab, B, and C = 3:2:4
- After 1 year, B invests Rs 2,70,000
- At the end of 2 years, B invests Rs 2,70,000 again
- Profit sharing ratio at the end of 3 years = 3:4:5
Calculations:
1. Let the initial investments of Ab, B, and C be 3x, 2x, and 4x respectively.
2. After 1 year, their investments will be 3x, 2x + 2,70,000, and 4x.
3. After 2 years, their investments will be 3x, 2x + 2,70,000, and 4x + 2,70,000.
4. At the end of 3 years, the profit will be shared in the ratio 3:4:5.
Profit Sharing Calculation:
- Ab's share = 3 * 3x
- B's share = 4 * (2x + 2,70,000)
- C's share = 5 * (4x + 2,70,000)
Equating the shares and solving for x:
3 * 3x : 4 * (2x + 2,70,000) : 5 * (4x + 2,70,000) = 3 : 4 : 5
Calculate the value of x:
9x : 8x + 10,80,000 : 20x + 13,50,000 = 3 : 4 : 5
9x = 3(8x + 10,80,000) = 4(20x + 13,50,000)
Solving the equations, we get:
x = 7,20,000
Initial Investments:
- Ab's initial investment = 3x = 3 * 7,20,000 = Rs 21,60,000
- B's initial investment = 2x = 2 * 7,20,000 = Rs 14,40,000
- C's initial investment = 4x = 4 * 7,20,000 = Rs 28,80,000
Therefore, the initial investments of Ab, B, and C were Rs 21,60,000, Rs 14,40,000, and Rs 28,80,000 respectively.
Given:
- Initial investment ratio of Ab, B, and C = 3:2:4
- After 1 year, B invests Rs 2,70,000
- At the end of 2 years, B invests Rs 2,70,000 again
- Profit sharing ratio at the end of 3 years = 3:4:5
Calculations:
1. Let the initial investments of Ab, B, and C be 3x, 2x, and 4x respectively.
2. After 1 year, their investments will be 3x, 2x + 2,70,000, and 4x.
3. After 2 years, their investments will be 3x, 2x + 2,70,000, and 4x + 2,70,000.
4. At the end of 3 years, the profit will be shared in the ratio 3:4:5.
Profit Sharing Calculation:
- Ab's share = 3 * 3x
- B's share = 4 * (2x + 2,70,000)
- C's share = 5 * (4x + 2,70,000)
Equating the shares and solving for x:
3 * 3x : 4 * (2x + 2,70,000) : 5 * (4x + 2,70,000) = 3 : 4 : 5
Calculate the value of x:
9x : 8x + 10,80,000 : 20x + 13,50,000 = 3 : 4 : 5
9x = 3(8x + 10,80,000) = 4(20x + 13,50,000)
Solving the equations, we get:
x = 7,20,000
Initial Investments:
- Ab's initial investment = 3x = 3 * 7,20,000 = Rs 21,60,000
- B's initial investment = 2x = 2 * 7,20,000 = Rs 14,40,000
- C's initial investment = 4x = 4 * 7,20,000 = Rs 28,80,000
Therefore, the initial investments of Ab, B, and C were Rs 21,60,000, Rs 14,40,000, and Rs 28,80,000 respectively.
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Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each?
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Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each?.
Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ab and C enter into a partnership firm by investing in the ratio of 3:2:4 after 1 year B invest another Rs 2 lakh 70000 and see at the end of 2 years also invest 2 lakh 70000 at the end of 3 years profit or shared in the ratio of 3:4:5 find the initial investment of each?.
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