A certain party consists of four different group of people 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?

• Let S be the amount spent for all students
  Let P be the amount spent for all politicians
  Let A be the amount spent for all actors and
  Let L be the amount spent for all leaders.
  given that 6 students spent as much as 7 politicians
  
  i.e Amount spent per student x 6 = Amount spent per politician x 7
  Or (Total amount spent on students / Total Students) x 6 = (Total amount spent on politicians / Total politicians)x 7
  Or., (S/30)x 6 = (P/35)x7
  => S/5 = P/5
  
  => S = P ..... eqn 1
  
  15 politicians spent as much as 12 actors :
  Therefore, (P/35)x15 = (A/20)x12
  => 3P/7 = 3A/5
  => 5P = 7P
  => 5S = 7A (since S = P)
  
  => A = 5S/7 ........eqn2
  
  and 10 actors spent as much as 9 leaders :
  Therefore, (A/20)x10 = (L/27)x9
  => 3A = 2L
  => A = 2L/3
  => 5S/7 = 2L/3 (since A=5S/7)
  
  => L = 15S/14 ......eqn3
  
  the total amount spent for the party is Rs.9000
  i.e., S+P+A+L = 9000
  from eqn1, eqn2, eqn3 we have
  S + S + 5S/7 + 15S/14 = 9000
  53S/14 = 9000
  s=9000*14 / 53
  s=2290.90 ~ 2291
  
  Hence the answer is Rs.2291
• 9 years agoHelpfull: Yes(4) No(0)
• Ans is2377
• 9 years agoHelpfull: Yes(2) No(2)
• equate the 4 equation
  6s=7p
  15p=12a
  12a=9l
  30x+35p+20a+27l=9000
  equate them in politcian
  
  35p+35p+15p+10p+45p=9000
  p=64.28
  pu the vapue of p above and find s
  
  s=75
  
  toatl student 30
  30*75
  
  2250
• 9 years agoHelpfull: Yes(2) No(2)
• given that
  30S+35P+20A+27L = 9000 ........................(1)
  
  6S=7P, =>P=6S/7
  
  15P=12A
  15*6S/7=12A => A=15/14S
  
  10A=9L
  10*15/14S = 9L => L=25/21S
  
  Put Values of P,A,L in EQN (1)
  
  
  we get the value of S= 79
  
  According to question there are Total 30 Students in a group
  
  then,
  
  total students spent = 30*79
  = 2370
  
  Ans = 2370
  
  
  
• 8 years agoHelpfull: Yes(2) No(0)
• ans is 2410
• 9 years agoHelpfull: Yes(1) No(2)