Question

The provision for food in a hostel is enough to feed 150 men for 45 days. After 10 days, 25 men left the hostel. Then, the food will last for days.

• A. 42
• B. 38
• C. 40
• D. 44

Answer 1

The correct option is A 42

Initially, there were enough provisions for 150 men for 45 days.
$\begin{array}{cc}\text{Number of Men}& 150\\ \text{Number of days}& 45\end{array}$

After 10 days,
$\begin{array}{ccc}& \text{If no men}\text{leaves}& \text{If 25 men}\text{leaves}\\ \text{Number of Men}& 150& 125\\ \text{Number of days}& 35& x\end{array}$

$\text{Number of men}\alpha \frac{1}{\text{Number of days}}\text{(food quantity is constant)}.$

$\therefore 125\times x=150\times 35x=\frac{150\times 35}{125}x=42\text{days}$

Then, the food will last for 10+42 =52 days.