Question

A fort had provisions for 200 soldiers for 12 days. After 4 days, 40 soldiers left the fort
How many days will the remaining provisions last at the same rate?​

Answer 1

Answer:

Solution:-

Total period = 40 days

After 10 days this period will be = 40 - 10 = 30 days.

Number of soldiers in the beginning = 450

Number of soldiers arrive = 90

Total soldiers = 450 + 90 = 540

Number of soldiers                Number of days

   450                                             30

   540                                              x  

Number of soldiers increases than the food will last for lesser days. This an inverse proportion.

450 : 540 :: 30 : x

x = (450*30)/540 

x = 25 

So, the remaining provision will last for 25 days at the same rate.