Answers

2015-05-16T16:29:33+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let there be N men in the fort  initially.
Let one person eat an amount equal to V in a day.

 So  we have a total amount of food =  42 * V * N

In 10 days,  food consumed = 10 * V * V

After 10 days food amount remaining,  32 V N

  Number of men now = N + 200.

   Food lasts 24 days:  ie., food amount = 24 *V * (N + 200)

   =>  32 V N =  24 * V * (N+200)
   =>  32 N = 24 N + 4800
   =>  N = 600

There were 600 persons.
===============================
PROPORTIONATE METHOD

food was sufficient for 42 days.  After 10 days,  food remained for 32 days.  200 people joined.  So food finished in 24 days ie., 8 days earlier than planned.

The additional 200 persons had eaten  food for 24 days.  This eaten food amount was sufficient for 8 more days for the initial group of men.  Ie., the food that was to be eaten by initial group on day 25, 26, to day 32.

    food eaten by 200 persons  in 24 days =  food eaten by ?  men in 8 days
                 200 * 24 / 8 =  600 persons.


This is inverse proportions  or reciprocal proportions.

3 5 3
please click on thanks blue button above