Question

A,b, and c enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4.after 2 months,a withdraws half of his capital and after 10 months,a profit of rs. 378 is divied among them. what is b's share?

Answer 1

The ratio of their initial investment = 1/2 : 1/3 : 1/4  

= 6 : 4: 3

Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively.

A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12

= (12+30) : 4*12 : 3*12

=(4+10) : 4*4 : 12

= 14 : 16 : 12

= 7 : 8 : 6

B's share = 378 * (8/21) = 18 * 8 = 144

Answer 2

Answer:

114

Step-by-step explanation:

The ratio of their initial investment = 1/2 : 1/3 : 1/4  

= 6 : 4: 3

Let's take the initial investment of A, B and C as 6x, 4x and 3x respectively.

A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12

= (12+30) : 4*12 : 3*12

=(4+10) : 4*4 : 12

= 14 : 16 : 12

= 7 : 8 : 6

B's share = 378 * (8/21) = 18 * 8 = 144