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      Question

      There is enough food in a camp to last for 50 days if

      each of the 80 soldiers present at the camp eat 2 times a day. After 20 days, 30 soldiers left the camp and remaining ate only once a day. For how many days (from start) will the food last?
      A 110 days Correct Answer Incorrect Answer
      B 120 days Correct Answer Incorrect Answer
      C 116 days Correct Answer Incorrect Answer
      D 105 days Correct Answer Incorrect Answer
      E 112 days Correct Answer Incorrect Answer

      Solution

      Let the eating capacity of each soldier be 'x' units So, total food at the camp = (50 X 80 X 2 X x) = '8000x' units And food remaining after 20 days = 8000x - (20 X 80 X 2 X x) = '4800x' units So, required time = 4800x ├╖ (x X 1 X 50) = 96 days So, the food will last for a total of 96 + 20 = 116 days

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