Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8 B. 20 : 49 : 64
C. 38 : 28 : 21 D. None of these

• Let the investment of 3 partners are x, y, z
  so according to the given condition
  14x/5 = 8y/7 = 7z/8 so x:y:z = 5/14:7/8:8/7 = 5*56/14:7*56/8:8*56/7
  = 20:49:64
• 12 years agoHelpfull: Yes(12) No(1)
• Lets try this:
  
  After equating the profits, we left with,
  
  14x : 8y : 7z = 5 : 7 : 8.
  
  => x=5/14 , y=7/8, z=8/7.
  
  take l.c.m of 14,8,7. we get 56.
  
  x = 5/14*56 = 20.
  
  y = 7/8*56 = 49.
  
  z = 8/7*56 = 64.
  
  So, investments x:y:z = 20:49:64.
• 7 years agoHelpfull: Yes(4) No(0)
• Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
  
  Then, 14x : 8y : 7z = 5 : 7 : 8.
  
  Now, 14x/8y = 5/7=98x = 40y , Y=49X/20
  14x/7Z = 5/8=112x = 35y , Z=16X/5
  
• 11 years agoHelpfull: Yes(2) No(0)
• how did u get 56 in solution?
  
• 11 years agoHelpfull: Yes(0) No(0)
• how did you got 56 in solution
  
• 8 years agoHelpfull: Yes(0) No(0)