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?

• ANSWER : 1700
  
  SOLUTION :
  
  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
• 12 years agoHelpfull: Yes(8) No(0)