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(6) No(1)
• ans-(a)1700
• 14 years agoHelpfull: Yes(2) No(0)
• ans(a)-1700
• 14 years agoHelpfull: Yes(2) No(1)