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A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
- a)3 : 5 : 2
- b)3 : 5 : 5
- c)6 : 10 : 5
- d)Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A and B started a partnership business investing some amount in the ra...
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6)
= 36 : 60 : 30
= 6 : 10 : 5.
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6)
= 36 : 60 : 30
= 6 : 10 : 5.
Most Upvoted Answer
A and B started a partnership business investing some amount in the ra...
Given information:
- A and B started a partnership business investing some amount in the ratio of 3:5.
- C joined after six months with an amount equal to that of B.
To find:
- Proportion in which the profit at the end of one year should be distributed among A, B, and C.
Let's assume the initial investments of A and B are 3x and 5x respectively. Since C joined after six months with an amount equal to that of B, C's investment after six months will also be 5x.
Total investment of A, B, and C after six months = (3x + 5x + 5x) = 13x
Calculation:
Let's assume the total profit at the end of one year is P.
A's share in the profit:
A has invested for the entire year, so the ratio of A's investment to the total investment is (3x)/(13x) = 3/13.
Therefore, A's share in the profit = (3/13) * P.
B's share in the profit:
B has also invested for the entire year, so the ratio of B's investment to the total investment is (5x)/(13x) = 5/13.
Therefore, B's share in the profit = (5/13) * P.
C's share in the profit:
C has invested for only six months, so the ratio of C's investment to the total investment is (5x)/(13x) = 5/13.
Therefore, C's share in the profit = (5/13) * P.
Hence, the proportion in which the profit should be distributed among A, B, and C is:
A : B : C = 3/13 : 5/13 : 5/13
Simplifying the ratio, we get:
A : B : C = 6 : 10 : 5
Therefore, the correct answer is option C) 6 : 10 : 5
- A and B started a partnership business investing some amount in the ratio of 3:5.
- C joined after six months with an amount equal to that of B.
To find:
- Proportion in which the profit at the end of one year should be distributed among A, B, and C.
Let's assume the initial investments of A and B are 3x and 5x respectively. Since C joined after six months with an amount equal to that of B, C's investment after six months will also be 5x.
Total investment of A, B, and C after six months = (3x + 5x + 5x) = 13x
Calculation:
Let's assume the total profit at the end of one year is P.
A's share in the profit:
A has invested for the entire year, so the ratio of A's investment to the total investment is (3x)/(13x) = 3/13.
Therefore, A's share in the profit = (3/13) * P.
B's share in the profit:
B has also invested for the entire year, so the ratio of B's investment to the total investment is (5x)/(13x) = 5/13.
Therefore, B's share in the profit = (5/13) * P.
C's share in the profit:
C has invested for only six months, so the ratio of C's investment to the total investment is (5x)/(13x) = 5/13.
Therefore, C's share in the profit = (5/13) * P.
Hence, the proportion in which the profit should be distributed among A, B, and C is:
A : B : C = 3/13 : 5/13 : 5/13
Simplifying the ratio, we get:
A : B : C = 6 : 10 : 5
Therefore, the correct answer is option C) 6 : 10 : 5
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A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?a)3 : 5 : 2b)3 : 5 : 5c)6 : 10 : 5d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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