Question

In a partnership business the ratio of capital of A:B is 4:5 and that of B and C is 4:5. If after one year there is a profit of Rs 610 the profit of C is ?​

Answer 1

Answer:

Rs. 250

Step-by-step explanation:

Ratio of capital A and B = 4:5

=> A: B = 4:5

=> A/B = 4/5

=16/20

=> A/16 =B/20

Again, The ratio of capital of B and C also = 4:5

=> B/C = 4/5

= 20/25

=> B/20= C/25

$hence \: \: \frac{a}{16} = \frac{b}{20} = \frac{c}{25}$

$i.e \: \: \: a:b: c \: = 16:20:25$

we know that ratio of capital is equivalent to ratio of profit distribution

i.e ratio of profit distribution is A:B:C = 16:20:25

Now let profit of A be 16x

So profit of B = 20x and profit of C = 25x

A/Q

16x + 20x + 25x = 610

=> 61x = 610

=> x =610/61

So, x = 10

Hence the profit of C = 25×10

= Rs. 250

Answer 2

Given:-

In a partnership business the ratio of capital of A:B is 4:5 and that of B and C is 4:5.

To find:-

the profit of C is

Solution:-

Ratio of capital of A:B = 4:5

(both multiplying by 4)

so,

A: B:C = 16:20:25

Profit in 1 year = 610 (Given)

so, profit of C :-

= $\sf \ 610 \times \dfrac{25}{61}$ =250