Question

A consignment of fodder feeds 1260 cattle for 50 days. Given that each cattle eats the fodder at a constant rate, then find the number of days the same consignment of fodder can feed 1575 cattle.

Answer 1

A consignment of fodder feeds 1260 cattle for 50 days

The consignment of fodder $=1260\times 50$

Let $1575$ castles finish the same consignment of fodder in x days.
Now

$x\times 1575=1260\times 50$

$\Rightarrow x=\frac{50\times 1260}{1575}$

$=40$

Thus, $1575$ cattle will finish the same consignment of fodder in $40$ days.