A camp of 250 soldiers has food for 600 days. After 60 days, 50 soldiers leave the camp. For how many days will the remaining food last from the time that these 50 soldiers left?

675 days

Formula to be used here,

\( { M}_{1 } \) x \( { D}_{1 } \)  = \( { M}_{2 } \) x \( { D}_{2 } \)

where, M = No. of Soldiers, D = no. of Days,

⇒ Putting values in the formula 

⇒ 250 x 540 = 200 x \( { D}_{2 } \)

⇒ \( { D}_{2 } \) = 675 days.