Question

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​

Answer 1

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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