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A camp has food stock for 500 people for 70 days. if 200 more people join the camp, how long will the stock last?

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Number of persons and their food stock are in inverse proportion.

⇒ x1y1 = x2 y2 (Let y2 = x say)

⇒ 500 × 70 = (500 + 200) × x

⇒  x = (500×70)/700 = 5 × 10

∴ x = 50

∴ The food will be stock for (200 + 500) 700 men = 50 days

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