Question

The food stocks in a hostel are sufficient for 1200 students for 20 days . If 400 more students joined the hostel , the stocks just for ... days .

Answer 1

Let food stock is sufficient for $x$ days.

Given,

$M_1=1200$

$D_1=20$

$M_2=1200+400=1600$

$D_2=x$

Then, using $M_1{D}_1=M_2{D}_2$

$1200\times 20=1600\times x$

$x=\frac{1200\times 20}{1600}$

$x=15$

Therefore, now the food stock is sufficient for $15$ days.