A battalion of 150 soldiers had provision of food to last for 45 days . After 10 days , 25 soldiers left the battalion . For how many days will the remaining food last ?

Given:

Initial number of soldiers = 150

Initial provision of food = 45 days

Number of soldiers after 10 days = 150 - 25 = 125

Formula Used:

Remaining food days = (Initial food days × Initial number of soldiers) / Remaining number of soldiers

Calculation:

Food consumed = 10 days × 150 soldiers

Remaining food provision = (45 - 10) days = 35 days for 150 soldiers

After 25 soldiers left, the remaining food for 125 soldiers:

Remaining food days = (35 days × 150 soldiers) / 125 soldiers

Remaining food days = 5250 / 125

Remaining food days = 42

The remaining food will last for 42 days.