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A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived. For how many more days will the remaining food last now ?

Answer:

Explanation:

Let the remaining food will last for $x$ days.

500 men had provisions for $(27-3)$ = 24 days.

$(500 + 300)$ men had provisions for $x$ days.

More men, Less days  (Indirect Proportion)

$\therefore$ $800 :500$ $::24:x$   $\Leftrightarrow (800\times x)$ $=(500\times 24)$

$\Leftrightarrow \frac{500\times 24}{800}=15$