A sum of Rs 7000 is to be used to give seven cash prizes to students of a school .If each prize is Rs 200 less than its preceding prize.What is the value of the highest prizes ?

• let the value of highest prize is x.
  as each prize is rs.200 less than its preceding prize the equation will be,
  x+(x-200)+(x-400)...+(x-1200)=7000
  7x-200(1+2+3+...6)=7000
  7x=11200
  x=1600
  so highest prize is rs 1600
• 11 years agoHelpfull: Yes(25) No(3)
• let x be lowest prize
  7x+200+400+600+800+1000+1200=7000
  x=400rupees
  the value of the highest prize=x+1200=1600 rupees
• 11 years agoHelpfull: Yes(9) No(3)
• given,
  sum of 7 terms = 7000
  so, sn=7000 & n=7
  its also given common diff, d=200
  solving, sn=n/2*[2a+(n-1)d]
  where a=first term
  we get a=400
  so, 'n'th term is given by,
  Tn=a+(n-1)d
  so, T7=1600
• 11 years agoHelpfull: Yes(5) No(2)
• highest price = x;
  then x+(x-200)+(x-400)+(x-600)+(x-800)+(x-1000)+(x-1200)=7000
  i.e. 7x-4200=7000
  7x=7000+4200
  7x=11200
  x=1600
• 11 years agoHelpfull: Yes(3) No(0)
• The value of the highest prize is 1600
  1600+1400+1200+1000+800+600+400=7000
• 11 years agoHelpfull: Yes(3) No(0)