Question

in a business,A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2 . If Rs 157300 was their profit ,how much amount did B receive?

Answer 1

See the picture. You will understood

Answer 2

Answer:

B received Rs. 48,400

Step-by-step explanation:

Given,

A and C invested amounts in the ratio 2 : 1 , that is,

A : C = 2 : 1

The ratio between amounts invested by A and B was 3:2 , that is,

A : B = 3 : 2

We can also write this ratio as B : A = 2 : 3

⇒ B : A = 4 : 6 [ Multiplying the ratios by 2 ]

Also,

A : C = 2 : 1

⇒ A : C = 6 : 3 [ Multiplying the ratios by 3 ]

So now,

B : A : C = 4 : 6 : 3

This can also be written as :

A : B : C = 6 : 4 : 3

Total shares = 6 + 4 + 3 = 13

According to question,

Profit = 157300

Amount received by B = ( Share of B / Total shares ) * Profit

= $\frac{4}{13}*157300$

= 48,400

Hence,

B received Rs. 48,400