Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?

• 50,000 is the right answer..
  suppose he had 100 rupees(100%)
  he gave 40% to wife
  left with him=60 RS
  20%of 60 to his sons
  left wid him=48 Rs
  Half spent
  left wid him=24 Rs
  therefore,24 Rs(or 24%)=12000
  therefore 100%=(12000/24)*100=50000
  :)
  
• 12 years agoHelpfull: Yes(24) No(7)
• if initially he had Rs.x, then
  
  ( If he gave 20% to each son), then
  x*0.6*0.4*0.5 = 12000
  x= 100000
  
  If he gave total 20% to 3 sons, then
  x*0.6*0.8*0.5= 12000
  x=50,000
• 12 years agoHelpfull: Yes(11) No(5)
• Let the initial amount be = x
  (40/100)*(20/100)*(1/2)*x=12000
  by simplifying we get,
  3x/25=12000
  x=12000*(25/3)
  Finally, x=100,000
• 12 years agoHelpfull: Yes(9) No(9)
• let d initial amt be x,
  amt gn to his wife=(40/100)x=2x/5
  bal=(x-(2x/5))=3x/5
  amt gn to sons=(20/100)*(3x/5)=3x/25
  bal=3x/5-3x/25=12x/25
  amt spet on miscellaneous items=(1/2)*(12x/25)=6x/25
  which is equal to 12000
  so 6x/25=12000
  then x=50000
  
• 12 years agoHelpfull: Yes(8) No(4)
• Let the initial amount with Mr.jones be Rs.x then,
  
  Money given to wife= Rs.(40/100)x=Rs.2x/5.
  
  Balance=Rs(x-(2x/5)=Rs.3x/5.
  
  Money given to 3 sons= Rs(3X((20/200) X (3x/5)) = Rs.9x/5.
  
  Balance = Rs.((3x/5) – (9x/25))=Rs.6x/25.
  
  Amount deposited in bank= Rs(1/2 X 6x/25)=Rs.3x/25.
  
  Therefore 3x/25=12000
  
  x= ((12000 x 35)/3)=100000
  
  So Mr.Jones initially had Rs.1,00,000 with him.
  
  Short-cut Method :
  
  Let the initial amount with Mr.Jones be Rs.x
  
  Then,(1/2)[100-(3*20)]% of x=12000
  
  => (1/2)*(40/100)*(60/100)*x=12000
  
  x=((12000*25)/3)=100000
  
• 12 years agoHelpfull: Yes(5) No(5)
• 50000
  reason: upon solving
• 12 years agoHelpfull: Yes(4) No(2)
• 
  sol:50000
  he gave 40% to his wife remaing:60%
  20% to his sons remaing:80%
  50% to bank remaing:50%
  jones have=12000*100/60*100/80*100/50=50000
• 12 years agoHelpfull: Yes(4) No(1)
• answer is 60,000
  let x is the total income of mr.jones
  40% gave to wife
  20% to sons
  20% to items and remaining 20% to be deposited in bank
  so total income of mr.jones is 60,000
• 12 years agoHelpfull: Yes(3) No(8)
• suppose initially had=100x rs
  give wife =40x
  remaining= 60x
  amount of 3 sons= 3[60x*20/100]=36x
  remaining amount = 60x-36x=24x
  spend on various items = 24x/2=12x
  given 12x=12000
  x=1000
  hence initial amount =100x =100000 rs
• 12 years agoHelpfull: Yes(3) No(3)
• Let us take total money = x;
  40% of x = 2/5x (given to his wife) left amt = 3x/5;
  20% of 3x/5 =3x/25 (given to his children) left amt= 12x/25
  his purchased his items with half the left over amout = 12x/50
  left over amout is 12x/50 i.e 12k(given in question)
  and
• 6 years agoHelpfull: Yes(0) No(1)