Question discussion

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…

236408Medium 1 reply 1,051 views
60
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 divided among them. What is B's share?
  • ARs. 121
  • BRs. 144
  • CRs. 169
  • DRs. 256
Answer not set

Discussion 1

0
CCommunity
Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6p, 2p and 3p respectively.

⇒ A : B : C = (6p × 2 + 3p × 10) : (4p × 12) : (3p × 12) = 42 : 48 : 36 = 7 : 8 : 6.

∴ B's share = Rs. (378 × 8/21) = Rs. 144.