Question

A hostel has provision for 50 students for a month if 10 more students joined the hostel how long will the provision last?(unitary method)

Answer 1

For 60 students provision =
$\frac{50 \times 30}{60} = 25 \: days$

Answer 2

For 60 students, the provision in the hotel will last for 25 days.

From common sense, we can deduce that if more no. of students join the hostel the provision would be depleted in lesser number of days.

So, from the question,

For, 50 students, the provision lasts for 30 days.

So, for 1 student, it will last for (30×50) days = 1500 days.

Similarly, for 60 students (as 10 more joined), it will last for (1500/60) days = 25 days.

It wil last for 25 days.