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Option 3 : 10

60 men can last for 28 days

1 man can last for = 60 × 28 days

After x days; food left = (1680 - 60 × x) units

Total number of men = 60 + 50 = 110

Food consumed in 10 days = (110) × 10 = 1100 units

Food left = Food consumed in 10 days

1680 - (60 × x) = 1100 ⇒ x = 9.67

The reinforcements arrived on the 9th day
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