A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

A. 4 months B. 5 months
C. 6 months D. 8 months

• Given, A:B=3:1 .
  let B's term be of x months .
  so, A:B=(85000*12):(42500*x)
  or, 1020000:42500x=3:1
  or,x=(1020000)/(3*42500)
  or, x=8
  B's term is 8 months, so B joins A in business after (12-8)=4 months.
• 12 years agoHelpfull: Yes(9) No(13)
• Let B joins for x months. Then
  
  A:B = 85000*12 : x* 42500 = 3 : 1
  
  => 850*12 : 425x= 3 : 1
  
  => 850*12/ 425x = 3/1 = 3
  
  => 850*4 /425x = 1
  
  => 2*4/x = 1
  
  => x = 8
• 9 years agoHelpfull: Yes(4) No(0)
• Answer: Option D
  
  Explanation:
  
  Suppose B joined for x months. Then,
  
  Then, 85000 x 12 = 3
  42500 x x 1
  x = 85000 x 12 = 8.
  42500 x 3
  So, B joined for 8 months.
• 9 years agoHelpfull: Yes(1) No(0)
• 6. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
  A. 5 months B. 6 months
  C. 7 months D. 8 months
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  answer with explanation
  Answer: Option D
  
  Explanation:
  
  Let B joined for
  x
  x months. Then
  
  85000
  ×
  12
  :
  42500
  ×
  x
  =
  3
  :
  1
  ⇒
  850
  ×
  12
  :
  425
  x
  =
  3
  :
  1
  ⇒
  850
  ×
  12
  ×
  1
  =
  3
  ×
  425
  x
  ⇒
  850
  ×
  4
  =
  425
  x
  ⇒
  x
  =
  8
  85000×12:42500×x=3:1⇒850×12:425x=3:1⇒850×12×1=3×425x⇒850×4=425x⇒x=8
  
  100% correct answer
• 7 years agoHelpfull: Yes(1) No(1)