A fort had provision of food for 150 men for 85 days. After 15 days, 25 men left the fort. Find the number of days for which the remaining food will last.

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SSC GD Constable 2025 Official Paper (Held On: 04 Feb, 2025 Shift 2)
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  1. 84
  2. 88
  3. 80
  4. 82

Answer (Detailed Solution Below)

Option 1 : 84
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Detailed Solution

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Formula used:

Remaining food = Initial food provision - Food consumed in 15 days

Remaining days of food = Remaining food / Remaining men

Calculation:

Initial food provision = 150 men × 85 days = 12750 man-days

25 men left after 15 days

Food consumed in 15 days = 150 men × 15 days = 2250 man-days

Remaining men = 150 - 25 = 125 men

Remaining food = 12750 man-days - 2250 man-days = 10500 man-days

Remaining days of food = 10500 man-days / 125 men

⇒ Remaining days of food = 84 days

∴ The correct answer is option (1).

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