A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit .For how long B’s money was used.
A) 6 months B) 9 months C) 10 months D) 1 year

• Ans: option C
  B received 2/3 of the profit
  => A : B = 1 : 2
  Let the total capital = x
  Then A's capital = x/4
  B's capital = x – x/4 = 3x/4
  Assume B's money was used for b months
  Then A:B = (x/4)*15 : (3x/4)*b = 1 : 2
  => 15/4 : 3b/4 = 1 : 2
  => 15 : 3b = 1 : 2
  => 5 : b = 1 : 2
  => 5/b = 1/ 2
  => b = 5*2 = 10
• 11 years agoHelpfull: Yes(7) No(0)
• A:B = 2/3=2:3(3 in 2 parts so A's part 1;B's part 2)
  A:B = (x/4)*15 : (3x/4)*b = 1 : 2
  
  15/4 : 3b/4 = 1 : 2
  
  => 15 : 3b = 1 : 2
  
  5 : b = 1 : 2
  
  5/b = 1/ 2
  
  b = 5*2 = 10
• 5 years agoHelpfull: Yes(0) No(0)