A garrison has sufficient provisions for $480$ men for $12$ days. If the number of men is reduced by $160$ , find how long will the provisions last.

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Solution

Strength of garrison = 480 men
Strength reduced by = 160 men
New strength of garrison $= 480 - 160 = 320$
Provision for 480 men lasts for $= 12 d a y s$
Provision for 1 man last for $= 480 \times 12 d a y s$
Provision for 320 men lasts for $\frac{480 \times 12}{320}$ days
$= 18 d a y s$

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