1)

95 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for how many days ?


A) 200

B) 180

C) 285

D) 300

E) 400

Answer:

Option C

Explanation:

The remaining food is sufficient for $95$ men for $195$ days.

But, now remaining men $=(95-30)=65$.

Less men, More days (Indirect)

$\therefore65:95::195:x$

$\Leftrightarrow 65x=95\times 195$

$\Leftrightarrow x=\frac{(95\times 195)}{65}$ = 285 days