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Solve this:

Example 7. 120 men had food provision for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?

Initially,

Food lasts for 200 days for 120 people

After 5 Days

food lasts for (200-5) days for 120 people

But when 30 people die

food lasts for

$\frac{120\times (200-5)}{120-30}=\frac{120\times 195}{90}=4\times 65=\overline{)260days}\phantom{\rule{0ex}{0ex}}$

for rest of the 90 people.

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