Some students arranged picnic.The budget was Rs. 240.Because four students of the group failed to go,the cost to each student was increased by Rs.5. How many students went for the picnic?

• 16 students went for picnic.
  
  Let x = Total number of students
  And x-4 = Number of students went for picnic.
  
  So initial cost per student = Rs. 240 /x
  
  4 of students are failed to go , now cost per student = Rs.240 /(x-4)
  
  Now, [240 / (x-4)] - [240 /x] = 5
  
  240/(x-4) = (240+5x)/x
  
  By solving this, we get
  (x-16)(x+12)=0
  
  So, x=16 or x=-12. x cannot be negative.
  
  So, No. of students, X = 16
  And No. of students went to picnic = X-4 = 16-4 = 12students.
• 12 years agoHelpfull: Yes(4) No(0)
• ans =16
  let initialy student =x and budget per student =240/x
  now when 4 student not go the student's remaining= x-4 and budget per student =240/x-4 which is five more than old budget now from that equation become as
  [240/x-4 ]-[240/x]=5
  now equation become as x^2-4x-192=0
  the roots of equation(x-16)(x+12)=0 that is x=16,-12.
  in which -12 not possible then ans =16
• 12 years agoHelpfull: Yes(1) No(0)