A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?
option
(a) Rs.800
(b) Rs.600
(c) Rs.200
(d) Rs.700

• Let x be amount with nephew then with daughter 4x and with son 5x
  as,there are 5 sons,4 daughters, 2 nephews the amount is share in ratio
  5*5x:4*4x:2*2x i.e., 25:16:2
  total amount is 8600, total parts is 43(it is sum of ratios 25,16,2)
  so value of x is 8600/43=200
  the share of daughter is (16*200)/4
  ans:800
• 13 years agoHelpfull: Yes(6) No(0)
• Let each nephew receive x
  then each daughter receive 4x
  and each son receive 5x
  2x+4*4x+5*5x=8600
  x=200
  each daughter receive 4*200=800;
  Ans:a(800)
  
• 13 years agoHelpfull: Yes(2) No(1)
• c)Rs.200
  
• 13 years agoHelpfull: Yes(1) No(4)
• (a) Rs.800
• 13 years agoHelpfull: Yes(1) No(1)
• let the amount of money divided among is xRs for son,y for daughter,z for nephew..
  now for 5 sons,4 daughters,2 nephews we have 5x,4x,2x resp...
  now form the equation as...5x+4y+2z=8600
  and the conditions implied on them will be...y=4z,x=5z
  now place the values in the equation and get the value of z through it.hance calculate the value of y which is required here...
  answer is 800
• 12 years agoHelpfull: Yes(0) No(0)
• As given:-
  1 daughter=4 times as one nephew
  4 daughter=4*4=16
  1 son=5 times as one nephew
  5 son=5*5=25
  ratio is 25:16:2 (2 nephew)
  daughter receive=16/(25+16+2)*8600=3200
  4 daughter receives =3200
  1 daughter receive=3200/4=800
  
  5*
• 7 years agoHelpfull: Yes(0) No(0)
• let share of 1 daughter be Rs. x.
  
  then the share for 4 daughters : 4x
  
  and as the question says: Daughter = 4(Nephew)
  Son= 5( nephew)
  therefore,
  ratio of all the three : 1 son : 1 daughter: 1 nephew= 5x/4 : x : x/4
  
  now ratio of 5 son: 4 daughter: 2 nephew=25x/4 : 4x : x/4=25x : 16x : 2x
  
  therefore, share of 4 daughters (16x/43x) * 8600= 3200
  
  share of 1 daughter = 3200/ 4 = rs. 800.
• 7 years agoHelpfull: Yes(0) No(0)
• d=4n
  s=5n
  2n+4d+5s=2n+4*4n+5*5n=43n
  43n=8600 =>n=200
  4d=16n
  =>4d=16*200
  => d=800
  option a is the answer
• 6 years agoHelpfull: Yes(0) No(0)