A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 10 months, a profit of Rs 378 is divided among them. What is B's share?
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Answers
Answered by
11
Answer:
144
Step-by-step explanation:
Given, ratio of initial investment = (1/2) : (1/3) : (1/4)
= 6 : 4 : 3.
Therefore, let the initial investments of A,B,C be 6x, 4x and 3x respectively.
Given that after 2 months, A withdraws half of his capital and after 10 months, a profit of rs.378 is divided among them. Hence, the ratio of investments:
⇒ (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12)
⇒ (12x + 30x) : (48x) : (36x)
⇒ 42x : 48x: 36x
⇒ 7 : 8 : 6
∴ B's share = Total Profit * (8/21)
= 378 * (8/21)
= 144.
Therefore, B's share = 144.
Hope it helps!
blackpinf4ever:
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Answered by
1
Answer:
144
Step-by-step explanation:
Given, ratio of initial investment = (1/2) : (1/3) : (1/4)
= 6 : 4 : 3.
Therefore, let the initial investments of A,B,C be 6x, 4x and 3x respectively.
Given that after 2 months, A withdraws half of his capital and after 10 months, a profit of rs.378 is divided among them. Hence, the ratio of investments:
⇒ (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12)
⇒ (12x + 30x) : (48x) : (36x)
⇒ 42x : 48x: 36x
⇒ 7 : 8 : 6
∴ B's share = Total Profit * (8/21)
= 378 * (8/21)
= 144.
Therefore, B's share = 144.
Hope it helps!
144
Step-by-step explanation:
Given, ratio of initial investment = (1/2) : (1/3) : (1/4)
= 6 : 4 : 3.
Therefore, let the initial investments of A,B,C be 6x, 4x and 3x respectively.
Given that after 2 months, A withdraws half of his capital and after 10 months, a profit of rs.378 is divided among them. Hence, the ratio of investments:
⇒ (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12)
⇒ (12x + 30x) : (48x) : (36x)
⇒ 42x : 48x: 36x
⇒ 7 : 8 : 6
∴ B's share = Total Profit * (8/21)
= 378 * (8/21)
= 144.
Therefore, B's share = 144.
Hope it helps!
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