If Rs.300 is distributed equally among a certain number of students. If there would be 10
more students, each would have received Rs.1 less. Find the number of students

• Let each student gets X rupees.
  Then, No. of students would be 300/x
  If there would be 10 more students, No. of students would be =(300/x)+10
  As per the given statemtn, each student gets Re. 1 less:
  Thus, each student gets x-1
  Now the equation would be;
  (x-1)(300+10x)=300
  solving this the following quadratic equation follow:
  x^2-x-30=0
  Now the value of x either 6 or -5
  No. of students would be 300/6=50
• 12 years agoHelpfull: Yes(4) No(0)
• 50 students totally.
  
  Let X = Total Number of students.
  And Y = Original Rupees receive by one student.
  
  Y = 300/X
  
  300/(X+10) = (Y-1)
  
  300 = (Y-1)(X+10)
  
  300 = ((300/X)-1) (X+10)
  
  300 = ((300-X)/X) (X+10)
  
  300X = (300-X)(X+10)
  
  300X = 300X + 3000 - X^2 -10X
  
  X^2 +10X - 3000 = 0
  
  (X-50) (X+60) = 0
  
  X=50 or X=-60
  
  X cannot be negative. So, X = 50
• 12 years agoHelpfull: Yes(3) No(0)
• let no. of students=x
  300 rs. distributed among x students
  1 student get(300/x)
  then,no.of students=(x+10),hen 1 student get=(300/x)-1
  =>300/(x+10)+1=(300/x)
• 12 years agoHelpfull: Yes(0) No(0)