Question

A garrison of $200$ men had provisions for $45$ days. After $15$ days, $40$ more men join the garrison. Find the number of days for which the remaining food will last

Answer 1

Availability of food $=200\times 45$ monday

food consumed $=200\times 15$ monday

Left food $=200\times 30$ monday

No. of men $=200\times 40=240$

so food wall sufficient till

$=\frac{200\times 30}{240}=25$ days