Question : There are 1200 men in a group. They have food for 80 days. After 5 days, 400 men left the group. The remaining food will last for how many days?
Option 1: 125 days
Option 2: 110.5 days
Option 3: 140.8 days
Option 4: 112.5 days
Correct Answer: 112.5 days
Solution :
We know, $M_1D_1= M_2D_2$, where $M_1$ and $M_2$ are men and $D1$ and $D_2$ are days
Here $M_1=1200, M_2=(1200-400),D_1=(80-5)$
So, $1200×(80-5)=(1200-400)×D_2$
$⇒1200×75=800×D_2$
$\therefore D_2=112.5\ \text{days}$
Hence, the correct answer is 112.5 days.
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