Question

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

• A. $15$ Days
• B. $25$ Days
• C. $35$ Days
• D. $5$ Days

Answer 1

The correct option is B $25$ Days

since $450$ soldiers had provision for $40$ days in a fort.

After $10$ days: $450$ soldiers will remain with $30$ days of provision

therefore for $540$ soldiers provision will decrease to $x$ days

therefore By inverse proportion,

$x=\frac{450\ast 30}{540}$

$\therefore x=25$ days

Answer is $25$ days