In a camp, food was was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?  Options
A) 1900 B) 1800 C) 1940 D) 2000 E) None of these
Explanation :   Given that food was sufficient for 2000 people for 54 days   Hence, after 15 days, the remaining food was sufficient for 2000 people for 39 days (∵ 54 - 15 = 39)   Let x number of people came after 15 days.   Then, total number of people after 15 days = (2000 + x)   Then, the remaining food was sufficient for (2000 + x) people for 20 days   More men, Less days (Indirect Proportion)   ⇒Men 2000:(2000+x)}:: 20 : 39   ⇒2000 × 39 = (2000 + x)20   ⇒ 100 × 39 = (2000 + x)   ⇒ 3900 = 2000 + x   x = 3900 − 2000 = 1900. 1900nswer : Option 1900
<result>A</result>
In a camp, food was was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?