Question

A garrison of $1500$ men has provisions for $55$ days. After $15$ days more men have come and the provisions last for $30$ days more. How many men have arrived?

• A. $1900$
• B. $300$
• C. $2000$
• D. $1000$

Answer 1

Answer: (A)

$1900$

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 $\frac{2000\times 39}{29}=3900$
$\therefore Reinforcement=3900-2000=1900$