Question

In a camp, $95$ men had provision for $200$ days. After $5$ days, $30$ men left the camp. For how many days will the remaining food last now?

• A. $180$
• B. $285$
• C. $139\frac{16}{19}$
• D. None of these

Answer 1

Answer: (B)

$285$

Let the remaining food will last for x days. 95 men had provisions for 195 days. 65 men had provisions for x days. Less men, more days
$\therefore 65:95::195:x$
$\Rightarrow (65\times x)=(95\times 195)$
$\Rightarrow x=\frac{95\times 195}{65}=285$