A fort had provision of food for 150 men for 45 days. After 10 days, 50 men left the fort. The number of days for which the remaining food will last, is:	Choose the most appropriate option
A) 29 1/5 B) 37 1/4 C) 42 D) 5 1/4 E) 48
After 10 days : 150 men had food for 35 days.   Suppose 100 men had food for x days.   Now, Less men, More days (Indirect Proportion)   Therefore 100 : 150 :: 35 : x &lt;=&gt; 100 x x = 150 x 35   =&gt; x =150 x 35/100   =&gt; x = 5 1/4.   Correct answer is 5 1/4
<result>D</result>
A fort had provision of food for 150 men for 45 days. After 10 days, 50 men left the fort. The number of days for which the remaining food will last, is: