A,B and C started a business. The capital of A is 4/5 of the total capital of B and C together. The capital of B is 2/3 of the total capital of C and A together . Find the total share of C in the annual profit of 49950
Answers
Answer:
Given:
A = (B + C)4/5
=> 5A = 4B + 4C
=> B = (4C - 5A)/4 ...(1)
B = (C + A)2/3
=> B = (2C + 2A)/3 ...(2)
(1) = (2)
=> (4C - 5A)/4 = (2C + 2A)/3
=> 12A - 15A = 8C + 8A
=> 4A = 23C
=> A = 23C/4 .....(3)
Find out B in terms of C:
B = (C + A)2/3
Put (3):
=> B = (C + 23C/4)2/3
=> B = (27C/4)(2/3)
=> B = 9C/2 ...(4)
A + B + C = 49950
Put (3) and (4):
=> 23C/4 + 9C/2 + C = 49950
=> C = 4440
Thus, answer is Rs. 4440
Thank You!
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Answer: 4440
Step by step explanation:
As per the Ques,
A = (B + C)4/5
=> 5A = 4B + 4C
=> B = (4C - 5A)/4 ___(1)
B = (C + A)2/3
=> B = (2C + 2A)/3 ___(2)
We get 2 Values of B, comparing them,
From (1) and (2),
=> (4C - 5A)/4 = (2C + 2A)/3
=> 12A - 15A = 8C + 8A
=> 4A = 23C
=> A = 23C/4 ___(3)
Finding value of B,
B = (2C + 2A)/3
From (3),
=> B = (C + 23C/4)2/3
=> B = (27C/4)(2/3)
=> B = 9C/2 ___(4)
Now, we've to find total share of C,
A + B + C = 49950
From (3) and (4),
=> 23C/4 + 9C/2 + C = 49950
=> C = 4440
Hence, the total share of C in the annual profit of 49950 is Rs. 4440.