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1200 Men Can Finish a Stock of Food in 35 Days. How Many More Men Should Join Them So that the Same Stock May Last for 25 Days?

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प्रश्न

1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?

थोडक्यात उत्तर
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उत्तर

Number of men 1200 x
Days 35 25
Let x be the number of additional men required to finish the stock in 25 days.
\[\text{ Since the number of men and the time taken to finish a stock are in inverse variation, we have } : \]
\[1200 \times 35 = 25x\]
\[ \Rightarrow x = \frac{1200 \times 35}{25}\]
\[ = 1680\]
\[ \therefore \text{ Required number of men } = 1680 - 1200 = 480\]
\[\text{ Thus, an additional 480 men should join the existing 1200 men to finish the stock in 25 days }  .\]
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