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A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year by
- a)Rs.4546
- b)Rs.5446
- c)Rs.5400
- d)Rs.4800
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A and B entered into a partnership investing Rs.12000 and Rs.10000 res...
A)Rs.4546 Explanation : (12000*3+9000*9):(10000*3+14000*9):(15000*6)
117000:156000:90000
117:156:90 => 39:52:30
B = 52*25000/121 = 10744
C = 30*25000/121 = 6198
Diff = 10744 – 6198 = 4546
117000:156000:90000
117:156:90 => 39:52:30
B = 52*25000/121 = 10744
C = 30*25000/121 = 6198
Diff = 10744 – 6198 = 4546
Most Upvoted Answer
A and B entered into a partnership investing Rs.12000 and Rs.10000 res...
A)Rs.4546 Explanation : (12000*3+9000*9):(10000*3+14000*9):(15000*6)
117000:156000:90000
117:156:90 => 39:52:30
B = 52*25000/121 = 10744
C = 30*25000/121 = 6198
Diff = 10744 – 6198 = 4546
117000:156000:90000
117:156:90 => 39:52:30
B = 52*25000/121 = 10744
C = 30*25000/121 = 6198
Diff = 10744 – 6198 = 4546
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Community Answer
A and B entered into a partnership investing Rs.12000 and Rs.10000 res...
Given:
A and B enter into a partnership with investments of Rs. 12000 and Rs. 10000 respectively.
After 3 months, A withdraws Rs. 3000.
At the same time, B invests Rs. 4000 more.
After 3 more months, C joins the business with a capital of Rs. 15000.
The total profit after one year is Rs. 25000.
To find:
The amount by which the share of B exceeds that of C.
Solution:
Let's calculate the profit share of each partner step by step.
Step 1: Calculate the profit share of A and B after 3 months.
The ratio of their investments is 12000:10000 = 6:5.
Since they are partners for 3 months, their profit share ratio will be (6*3):(5*3) = 18:15 = 6:5.
Let's assume their shares are 6x and 5x respectively.
Step 2: Calculate the profit share of A and B after A withdraws Rs. 3000 and B invests Rs. 4000 more.
After A withdraws Rs. 3000, his investment becomes 12000 - 3000 = Rs. 9000.
After B invests Rs. 4000 more, his investment becomes 10000 + 4000 = Rs. 14000.
So, the new ratio of their investments is 9000:14000 = 9:14.
Since they are partners for 9 months, their profit share ratio will be (9*9):(14*9) = 81:126 = 9:14.
Let's assume their shares are 9y and 14y respectively.
Step 3: Calculate the profit share of A, B, and C after C joins the business.
The ratio of their investments is 9000:14000:15000 = 9:14:15.
Since they are partners for 12 months, their profit share ratio will be (9*12):(14*12):(15*12) = 108:168:180 = 6:14:15.
Let's assume their shares are 6z, 14z, and 15z respectively.
Step 4: Calculate the actual values of x, y, and z.
Since the total profit is Rs. 25000, we can write the equation:
6z + 14z + 15z = 25000
35z = 25000
z = 25000/35 = 714.29
Step 5: Calculate the share of B and C.
The share of B = 14z = 14 * 714.29 = Rs. 10000
The share of C = 15z = 15 * 714.29 = Rs. 10714.29
Final Step: Calculate the difference in the shares of B and C.
Difference = Share of B - Share of C = 10000 - 10714.29 = Rs. -714.29
Since the difference is negative, it means the share of C exceeds that of B.
But the question asks for the amount by which the
A and B enter into a partnership with investments of Rs. 12000 and Rs. 10000 respectively.
After 3 months, A withdraws Rs. 3000.
At the same time, B invests Rs. 4000 more.
After 3 more months, C joins the business with a capital of Rs. 15000.
The total profit after one year is Rs. 25000.
To find:
The amount by which the share of B exceeds that of C.
Solution:
Let's calculate the profit share of each partner step by step.
Step 1: Calculate the profit share of A and B after 3 months.
The ratio of their investments is 12000:10000 = 6:5.
Since they are partners for 3 months, their profit share ratio will be (6*3):(5*3) = 18:15 = 6:5.
Let's assume their shares are 6x and 5x respectively.
Step 2: Calculate the profit share of A and B after A withdraws Rs. 3000 and B invests Rs. 4000 more.
After A withdraws Rs. 3000, his investment becomes 12000 - 3000 = Rs. 9000.
After B invests Rs. 4000 more, his investment becomes 10000 + 4000 = Rs. 14000.
So, the new ratio of their investments is 9000:14000 = 9:14.
Since they are partners for 9 months, their profit share ratio will be (9*9):(14*9) = 81:126 = 9:14.
Let's assume their shares are 9y and 14y respectively.
Step 3: Calculate the profit share of A, B, and C after C joins the business.
The ratio of their investments is 9000:14000:15000 = 9:14:15.
Since they are partners for 12 months, their profit share ratio will be (9*12):(14*12):(15*12) = 108:168:180 = 6:14:15.
Let's assume their shares are 6z, 14z, and 15z respectively.
Step 4: Calculate the actual values of x, y, and z.
Since the total profit is Rs. 25000, we can write the equation:
6z + 14z + 15z = 25000
35z = 25000
z = 25000/35 = 714.29
Step 5: Calculate the share of B and C.
The share of B = 14z = 14 * 714.29 = Rs. 10000
The share of C = 15z = 15 * 714.29 = Rs. 10714.29
Final Step: Calculate the difference in the shares of B and C.
Difference = Share of B - Share of C = 10000 - 10714.29 = Rs. -714.29
Since the difference is negative, it means the share of C exceeds that of B.
But the question asks for the amount by which the
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A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year bya)Rs.4546b)Rs.5446c)Rs.5400d)Rs.4800e)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
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