Question

12000 soldiers in a Fort had enough food for 28 days after food is some soldiers were transferred to the another fort and thus the food lasted for 32 days how many soldiers left in the Fort​

Answer 1

Answer:

1090

Step-by-step explanation:

12000/28=

428

1090 will go

Answer 2

Answer:

Total amount of food available initially:  1200 * 28    Soldier-days

After 4 days, the amount of food remaining:  1, 200 * 24  soldier-days worth.

Let N soldiers be remaining after some are transferred to another fort.

     1, 200 * 24  = N * 32

               N = 900

  Hence,  300 soldiers were transferred.

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Proportional method

     As the number of soldiers decreases, the number of days the food lasts will increases.  As the number of soldiers increases, the number of days the food lasts, will decrease.  So number N  of soldiers is inversely proportional to the number D of days.

               So    N = K / D,    where  K = constant of proportionality

                     when  N = 1,200  then  D = 24

             So  K = N D = 1,200 * 24

  

       When D = 32,  N = K / D = 1, 200 * 24 / 32 = 900

     Hence, there were only 900 soldier after 4 days.    So 1200 - 900 = 300 soldiers are transferred.