A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.

• A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4.
  say 3x, 2x and 4x respectively.
  Investment of A remains same for 3 years... total investment for 3 years = 3*3x=9x
  Relative Investment of B for 3 years = 2x*3 +270000*2
  Relative investment of C = 4x*3 + 270000*1
  
  As per given condition
  (6x +540000) /( 12 X + 270000) = 4/5
  
  
  solving it, we get ,
  x= 90,000
  
  so initial investments were
  
  Rs. 2,70,000
  Rs. 1,80,000
  and
  Rs. 3,60,000
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