A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4

A, B and C enter into a partnership and their shares are in 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 divided among them. What is B's share?

  1. Rs 124
  2. Rs 144
  3. Rs 156
  4. Rs 165

Answer

LCM of 2, 3 and 4 = 12

Ratio of initial investment is 6x : 4x : 3x

Ratio of final investment at the end of 1 year:

A invests 6x for first 2 months and then 3x for next 10 months. B and C invest 4x and 3x respectively for 12 months.

(6x*2 + 3x*10) : (4x*12) : (3x*12) = 42 : 48 : 36 = 7 : 8 : 6

Profit divided is directly proportional to the investment made.

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

The correct option is B.