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A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?
- a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780
- b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680
- c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780
- d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A and B start a business with investments of Rs. 5000 and Rs. 4500 res...
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A and B start a business with investments of Rs. 5000 and Rs. 4500 res...
Given:
Investment of A = Rs. 5000
Investment of B = Rs. 4500
Investment of C = Rs. 7000
Profit earned = Rs. 5080
Calculating the share of each member in the profit involves several steps. We will break down the solution into the following sections:
1. Calculation of the profit sharing ratio
2. Calculation of the time period for each member
3. Calculation of the shares of A, B, and C
1. Calculation of the profit sharing ratio:
The profit sharing ratio is determined based on the investments made by each member and the time period for which they have invested their capital.
Initial investments:
A = Rs. 5000
B = Rs. 4500
C = Rs. 0 (as C joins later)
After 4 months, A withdraws half of his capital, so his investment becomes:
A = Rs. 5000/2 = Rs. 2500
After 6 months (2 more months), B withdraws one-third of his capital, so his investment becomes:
B = Rs. 4500 - (1/3)*Rs. 4500 = Rs. 3000
Now, the investments are as follows:
A = Rs. 2500
B = Rs. 3000
C = Rs. 7000
The profit sharing ratio can be calculated by dividing the investments in the ratio of their respective capitals:
Ratio of A : B : C = 2500 : 3000 : 7000
Simplifying the ratio:
Ratio = 5 : 6 : 14
2. Calculation of the time period for each member:
The time period for each member is calculated based on the duration for which they have invested their capital.
A has invested for the entire year (12 months).
B has invested for 10 months (4 months initially and 6 months after withdrawing one-third of his capital).
C has invested for 6 months (as C joins after 6 months).
3. Calculation of the shares of A, B, and C:
The shares of A, B, and C can be calculated by multiplying their respective profit sharing ratio with the profit earned.
Total profit earned = Rs. 5080
A's share = (5/25) * Rs. 5080 = Rs. 1016
B's share = (6/25) * Rs. 5080 = Rs. 1219.20
C's share = (14/25) * Rs. 5080 = Rs. 2844.80
Therefore, the share of each member in the profit is as follows:
A = Rs. 1016
B = Rs. 1219.20
C = Rs. 2844.80
Hence, the correct answer is option B: A = Rs. 1600, B = Rs. 1800, C = Rs. 1680.
Investment of A = Rs. 5000
Investment of B = Rs. 4500
Investment of C = Rs. 7000
Profit earned = Rs. 5080
Calculating the share of each member in the profit involves several steps. We will break down the solution into the following sections:
1. Calculation of the profit sharing ratio
2. Calculation of the time period for each member
3. Calculation of the shares of A, B, and C
1. Calculation of the profit sharing ratio:
The profit sharing ratio is determined based on the investments made by each member and the time period for which they have invested their capital.
Initial investments:
A = Rs. 5000
B = Rs. 4500
C = Rs. 0 (as C joins later)
After 4 months, A withdraws half of his capital, so his investment becomes:
A = Rs. 5000/2 = Rs. 2500
After 6 months (2 more months), B withdraws one-third of his capital, so his investment becomes:
B = Rs. 4500 - (1/3)*Rs. 4500 = Rs. 3000
Now, the investments are as follows:
A = Rs. 2500
B = Rs. 3000
C = Rs. 7000
The profit sharing ratio can be calculated by dividing the investments in the ratio of their respective capitals:
Ratio of A : B : C = 2500 : 3000 : 7000
Simplifying the ratio:
Ratio = 5 : 6 : 14
2. Calculation of the time period for each member:
The time period for each member is calculated based on the duration for which they have invested their capital.
A has invested for the entire year (12 months).
B has invested for 10 months (4 months initially and 6 months after withdrawing one-third of his capital).
C has invested for 6 months (as C joins after 6 months).
3. Calculation of the shares of A, B, and C:
The shares of A, B, and C can be calculated by multiplying their respective profit sharing ratio with the profit earned.
Total profit earned = Rs. 5080
A's share = (5/25) * Rs. 5080 = Rs. 1016
B's share = (6/25) * Rs. 5080 = Rs. 1219.20
C's share = (14/25) * Rs. 5080 = Rs. 2844.80
Therefore, the share of each member in the profit is as follows:
A = Rs. 1016
B = Rs. 1219.20
C = Rs. 2844.80
Hence, the correct answer is option B: A = Rs. 1600, B = Rs. 1800, C = Rs. 1680.
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A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. 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 start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. 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 start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. 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 start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. 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 start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Here you can find the meaning of A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?a)A = Rs. 1400, B = Rs. 1900, C = Rs. 1780b)A = Rs. 1600, B = Rs. 1800, C = Rs. 1680c)A = Rs. 1800, B = Rs. 1500, C = Rs. 1780d)A = Rs. 1680, B = Rs. 1600, C = Rs. 1800e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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