Question

A and B are patners in a firm having a capital of 54000 and 36000 respectively. They admitted C for1/3rd share in a profit C brought propotionate amount of capital. find the capital of ,C

Answer 1

Explanation:

let the total share of profit=1

c share=3

remaining share of a and b=1-1/3=2/3

total capital of a n b=54000+36000=90000

total cap of the firm =3/2*90000=135000

capital bring by C=1/3*135000=45000

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Answer 2

$\fontsize{18}{10}{\textup{\textbf{C's capital is 45,000.}}}$

Explanation:

C's profit sharing ratio is 1/3.

Combined capital of A & B = 54000+36000=90,000.

$\textup{Remaining share of A and B}=1-\dfrac{1}{3}=\dfrac{3-1}{3}=\dfrac{2}{3}.$

Total firm's capital taking A and B 's share

$=90000\times\dfrac{3}{2}=135000.$

Therefore,

$\textup{C's share}=\dfrac{1}{3}\times135000=45000.$

Thus, required capital of C is 45,000.

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