Multiple choice general knowledge math & puzzles

A fort has provision for 50 days if after 10 days they are strengthen by 500 men and the remaining food lasts 35 days. How many men were there in the fort initially?

  1. 3500

  2. 3000

  3. 2500

  4. 4000
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A Correct answer
Explanation

Let initial men = M. After 10 days, 40 days of food remains for M men: total food = 40M. With 500 more men (M+500), this lasts 35 days: 40M = 35(M+500). Solving gives 5M = 17500, so M = 3500.

AI explanation

If the fort has M men and food for 50 days, after 10 days 40 days' worth of food remains for M men, i.e., total food remaining = 40M man-days. With 500 more men, this food lasts 35 more days, so 40M = (M+500)×35. Solving: 40M = 35M + 17500, so 5M = 17500 and M = 3500, the initial number of men.

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