Question

A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?

Answer 1

After 10 days:
For 450 soldiers, provisions are sufficient for
(40 - 10) days = 30 days
For 1 soldier, provision are sufficient for
$30\times 450$ days
For 540 soldiers, the provision are sufficient for
$=\frac{30\times 450}{540}=\frac{30\times 50}{60}=\frac{50}{2}=25days$