In a fort there was sufficient food for 200 soldiers for 31days. After 27 days, 120 soldiers left the fort. for how many extra days will the rest of the food last for the remaining soldiers?

• 200*31=27*200+x*80
  x=10
  it means that 6 extra days
• 11 years agoHelpfull: Yes(107) No(2)
• Let me say that the amount of food one soldier consumes in one day is 1 soldier-day food.
  
  Total amount of food was 200 x 31 soldier-days = 6200 soldier-days
  In 27 days, 200 soldiers consumed the food which is equal to 27 x 200 = 5400 soldier-days.
  Left over food = 800 soldier-days
  Now 800 soldier-days food will last 80 soldiers 10 days. Since 27 days are already over, it would have lasted only 4 more days but now it is going to last 10 days so it will last an extra 6 days.
• 11 years agoHelpfull: Yes(33) No(2)
• its 10 days
  200*4/80=10 days
• 11 years agoHelpfull: Yes(5) No(11)
• total food = 200*31 = 6200,
  food ate in 27 days by 200 soldier's = 5400,
  rest food = 800 unit.
  it can be consumed by 80 soldier's in 10 days,
  so extra days = 10-4=6 days. Ans.
• 11 years agoHelpfull: Yes(5) No(1)
• 200*31=27*200+x*80
  x=10
  so, 10-(31-27)= 6
  it means that 6 extra days
• 11 years agoHelpfull: Yes(4) No(2)
• food will last for 31-27 if nobody will leave=4
  now soldiers left in fort=200-120=80
  therefore food will last for(200/80)*4=10
  ans is 10 days
• 11 years agoHelpfull: Yes(3) No(1)
• 27*200+x*80=31*200
  hence x=10
  ans=6 days
• 11 years agoHelpfull: Yes(0) No(1)
• 200*31 soldier-food is 100% food.
  for 1 sol-day=1/62%food.
  for 1st 27days %tage of food eaten=200*27/62=87%
  nw 80 soldier r left...let no of days be x.
  13% food=80*x/62=>x=10 days :)
• 11 years agoHelpfull: Yes(0) No(1)
• total food soldiers= 200*31=6200
  27 day of expension will be= 27*200=5400
  remain food soldiers= 6200-5400=800
  according to question 120 soldiers left the fort remaining solders = 80
  so day= 800/80=10
  so day will be=6
• 9 years agoHelpfull: Yes(0) No(0)