vinay and varma started a business by investing 12000 & 9000 respectively . After 6 months vinay withdrew 6000 and varma invested 3000 . at the end of the year the total profit is 3445 . what is the difference between the shares of vinay & varma

• ans:-265
  for 6 month for vinay:-
  si=12000*x*.5/100
  si=60*x
  where x=rate
  after 6 month
  he withdraw 6000
  so
  new si=6000*x*.5/100
  si=30*x
  total si for vinay=90*x
  similar for verma
  it is 105*x
  profit=3445=90*x+105*x
  x=17.66
  so difference=105*x-90*x
  difference=265
  
• 11 years agoHelpfull: Yes(0) No(2)
• ((12000*6)+(6000*6)):((9000*6)+(6000*6))
  =108000:90000
  so share of vinay=54/99*3445=1879.09
  share of varma=45/99*3445=1565.90
  the diffrnce are=1879.09-1565.90=313.19
• 11 years agoHelpfull: Yes(0) No(0)
• Vinay's total investment for the year is:
  
  First six months he invested 12000*6 = 72,000.
  
  Next six months he withdrew 6000 rupees from his investment, hence
  
  (12,000 - 6,000)*6 = 36,000.
  
  Total Vinay's investment = 72,000 + 36,000 = 1,08,000
  
  Varma's total investment for the year is:
  
  First six months he invested 9000*6 = 54,000.
  
  Next six months he invested 3000 keeping his 9000 as it is hence he invested
  
  (9000+3000)*6 = 12,000*6 = 72,000.
  
  
  Total Verma's investment = (9000*6)+(12000*6)= 54,000+72,000 = 1,26,000.
  
  Vinay : Verma = 1,08,000 : 1,26,000 = 6:7
  
  Vinay's share = 6x, Verma's share = 7x
  
  x = 3445/13 = 265.
  
  Vinay's share = 265 * 6, Verma's share = 265 * 7.
  
  Difference = 265(7-6) = 265.
• 11 years agoHelpfull: Yes(0) No(0)