Question

$1200$ men can finish the stock of food in $35$ days. How many more men should join them so that the same stock of food may last $25$ days?

• A. $120$
• B. $240$
• C. $360$
• D. $480$

Answer 1

The correct option is D $480$

Let $x$ be the new number for which the stock lasts $25$ days.
Since the total stock remains same for both cases.
So, $1200\times 35=x\times 25$
$x=\frac{1200\times 35}{25}=1680$ men
Hence, additional men required is $=1680-1200=480$
Thus an additional $480$ men should join the existing $1200$ men to finish the stock in $25$ days.