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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?
- a)Rs. 420
- b)Rs. 400
- c)Rs. 440
- d)Rs. 450
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A, B and C start a business in partnership with initial investments of...
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A, B and C start a business in partnership with initial investments of...
Given:
Initial investments of A, B, and C = Rs. 4200, Rs. 3600, and Rs. 2400 respectively
A invests an additional amount of Rs. 1000 after 4 months
B and C invest additional amounts in the ratio 1:2 after 6 months
Total profit after 10 months = Rs. 2820
A's share in profit = Rs. 1200
To find:
Additional investment made by B
Solution:
Let's first calculate the total investment made by each partner:
Total investment of A = Rs. (4200 + 1000) = Rs. 5200
Total investment of B = Rs. (3600 + x) where x is the additional investment made by B
Total investment of C = Rs. (2400 + 2x) since B and C invest additional amounts in the ratio 1:2
Now, let's calculate the ratio in which the profit will be divided:
A invested for 10 months, so his share in profit = (10/12) = 5/6
B and C invested for 8 months (since they invested after 6 months), so their share in profit = (8/12) = 2/3
Given, total profit = Rs. 2820
A's share in profit = Rs. 1200
So, B and C's share in profit = (2820 - 1200) = Rs. 1620
Let's calculate the share of B and C in profit:
The ratio of their investments is 3600 + x : 2400 + 2x
So, their share in profit will be in the ratio (3600 + x) : (2400 + 2x)
According to the question, this ratio is 1:2
Therefore, (3600 + x)/(2400 + 2x) = 1/2
Solving this equation, we get x = Rs. 400
Therefore, the additional investment made by B is Rs. 400.
Initial investments of A, B, and C = Rs. 4200, Rs. 3600, and Rs. 2400 respectively
A invests an additional amount of Rs. 1000 after 4 months
B and C invest additional amounts in the ratio 1:2 after 6 months
Total profit after 10 months = Rs. 2820
A's share in profit = Rs. 1200
To find:
Additional investment made by B
Solution:
Let's first calculate the total investment made by each partner:
Total investment of A = Rs. (4200 + 1000) = Rs. 5200
Total investment of B = Rs. (3600 + x) where x is the additional investment made by B
Total investment of C = Rs. (2400 + 2x) since B and C invest additional amounts in the ratio 1:2
Now, let's calculate the ratio in which the profit will be divided:
A invested for 10 months, so his share in profit = (10/12) = 5/6
B and C invested for 8 months (since they invested after 6 months), so their share in profit = (8/12) = 2/3
Given, total profit = Rs. 2820
A's share in profit = Rs. 1200
So, B and C's share in profit = (2820 - 1200) = Rs. 1620
Let's calculate the share of B and C in profit:
The ratio of their investments is 3600 + x : 2400 + 2x
So, their share in profit will be in the ratio (3600 + x) : (2400 + 2x)
According to the question, this ratio is 1:2
Therefore, (3600 + x)/(2400 + 2x) = 1/2
Solving this equation, we get x = Rs. 400
Therefore, the additional investment made by B is Rs. 400.
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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)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, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)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, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)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, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)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, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A, B and C start a business in partnership with initial investments of Rs. 4200, Rs. 3600 and Rs. 2400 respectively. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?a)Rs. 420b)Rs. 400c)Rs. 440d)Rs. 450e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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