Question

A garrison of '$n$' men had enough food to last for $30$ days. After $10$ days, $50$ more men joined them. If the food now lasted for $16$ days, what is the value of $n$?

• A. $200$
• B. $240$
• C. $280$
• D. $320$

Answer 1

The correct option is A $200$

After $10$ days, the food for n men is there for $20$ days.
This food can be eaten by $(n+50)$ men in $16$ days.
$\therefore 20n=16(n+50)$
$\therefore n=200$