A fort has provisions for 420 soldiers for 70 days. After 10 days 210 more soldiers enter the fort. The remaining food will last for

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 30 days 
  2. 25 days
  3. 35 days 
  4. 40 days

Answer (Detailed Solution Below)

Option 4 : 40 days
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Detailed Solution

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Given:

Provisions for 420 soldiers for 70 days

Additional soldiers after 10 days = 210

Formula used:

Total food = Number of soldiers × Number of days

Remaining food = (Initial food - Food consumed in 10 days)

Remaining food / New total soldiers = Remaining days

Calculations:

Total food = 420 × 70 = 29400

Food consumed in 10 days = 420 × 10 = 4200

Remaining food = 29400 - 4200 = 25200

New total soldiers = 420 + 210 = 630

Remaining days = 25200 / 630

⇒ Remaining days = 40

∴ The correct answer is option (4).

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