A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?
(a) 1700 (b) 1000 (c) 3000 (d) 2700

• 3300 men -> 32 days -> 850 g/head
  After 7 days,
  3300 men -> 25 days -> 850 g/head
  After reinforcement = 'x' arrives,
  (3300+x) men -> 17 days -> 825 g/head
  
  Now, men count is inversely proportional to the days for survival
  So,
  3300*850 -> 1/25
  (3300+x)*825 -> 1/17
  Solving the above two we get,
  3300 + x = (3300*850*25)/(17*825)
  So, x = 5000-3300 = 1700
• 14 years agoHelpfull: Yes(12) No(0)
• 825*17*x=850*25*3300
  => 5000
  strength of reinforcement = (5000-1300)= 1700
  final answer 1700.
• 9 years agoHelpfull: Yes(3) No(0)
• 3300 men -> 32 days -> 850 g/head
  After 7 days,
  3300 men -> 25 days -> 850 g/head
  After reinforcement = 'x' arrives,
  (3300+x) men -> 17 days -> 825 g/head
  
  Now, men count is inversely proportional to the days for survival
  So,
  3300*850 -> 1/25
  (3300+x)*825 -> 1/17
  Solving the above two we get,
  3300 + x = (3300*850*25)/(17*825)
  So, x = 5000-3300 = 1700
  
• 9 years agoHelpfull: Yes(0) No(0)
• For 3300 men in 32 days, total food = 850*32*3300
  after 7 days, food available=850*25*3300..............(32-7=25)
  food for 3300+x = (3300+x)(17)(825)
  (3300+x)*17*825=850*25*3300
  x=1700
• 9 years agoHelpfull: Yes(0) No(0)