Question

5. A garrison of 1200 men is provisioned for
75 days. If after 25 days the garrison is
reinforced by 300 people, how long would the
remaining provisions last?​

Answer 1

Answer:Solution:-

Let the remaining food will last for 'x' days.

1500 men had provision for (60 - 25) = 35 days  

(1500 + 500) men had provision for x days.

More men, less days (Indirect proportion)

2000 : 1500 : : 35 : x

2000x = 1500*35

2000x = 52500

x = 52500/2000

x = 105/4 or 26.25 days

So, the remaining food will last for 26. 25 days.