Question

An army post with1800 men has provision of food for 50 days. After 10 days, some of the men go back to the basecamp due to injuries. The remaining food is now enough for the next 50 days for the remaining men. What is the
number of men who went back to the base camp?
​

Answer 1

360 men went back.

Step-by-step explanation:

Since when some food is enough for $x_1$ person for $n_1$ days and the same food is enough for $x_2$ persons for $n_2$ ys,

Then,

$x_1\times n_1 = x_2\times n_2$

If

$x_1=1800, n_1=50-10=40, n_2=50$

$1800\times 40=50x_2$

$720000=50x_2$

$\implies x_2=\frac{720000}{50}=1440$

Since,

1800-1440 = 360

Hence, 360 men went back.

#learn more :

36 men can do a piece of work in12days. in how many days9 men can do the same work​

https://brainly.in/question/13837291