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:

To find A:B:C, value of B must be same in A:B and B:C. For that -

Ratio of capital of A and B is 4 : 5.

4 : 5 = ( 4 * 4 ) : ( 5 * 4 )

4 : 5 = 16 : 20

Ratio of capital of A and B is 16 : 20.

Ratio of capital of B and C is 4 : 5.

4 : 5 = ( 4 * 5 ) : ( 5 * 5 )

4 : 5 = 20 : 25

Ratio of capital of A and B is 20 : 25.

Now, B is same in A:B and B:C.

So,

= > A : B : C = 16 : 20 : 25

They will get the profit in the same ratio as they invested.

So, let profit of A be 16x, B is 20x and C be 25x.

Total profit = 610

= > 16x + 20x + 25x = 610

= > 61x = 610

= > x = 610/61 = 10

Hence,

Profit of B is 25x = 25(10) = 250.

Answer 2

Answer:

$\huge\purple\star\underline\mathfrak\pink{ANSWER :-}\purple\star$

Step-by-step explanation:

Ratio,

Capital of A:B = 4:5 both multiplying by 4

so,

A: B:C = 16:20:25

Profit in 1 year = 610

so, profit of C :-

= $610 \times \frac{25}{61} = 250$

250 ans.