Question

A garrison of $2000$ men has provisions for $54$ days. At the end of $15$ days a reinforcement arrives and it is found that now that provisions will last $20$ days more. What is the strength of reinforcement?

• A. $3900$
• B. $1900$
• C. $2500$
• D. $900$

Answer 1

The correct option is B $1900$

After $15$ days, the food left is for $(54-15)=39$ days
Now in $39$ days food is for $2000$ men
$\therefore$ In $20$ days food is for $\frac{2000\times 39}{29}=3900$
$\therefore Reinforcement=3900-2000=1900$