Mathematics120 men had a food provision for 200 days. After 5 days, 30 men died due to an epidemic. How long would their remaining food last ?

120 men had a food provision for 200 days. After 5 days, 30 men died due to an epidemic. How long would their remaining food last ?


  1. A
    120
  2. B
    140
  3. C
    260
  4. D
    220 

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    Solution:

    Concept: We will find the total food requirement and total food availability, and let the required food consumption of an individual person per day be x, then  after finding the food consumed by 120 people in 5 days, we will find the remaining food and the new food consumption rate.
    Let the required food per person per day =x
    Therefore, required food for 120 people for 1 day =120×x
                                                                                    =120x
    Given that, food is available for 200 days for 120 people.
    Total available food =120x×200
    Total available food =24000x
    Since, there were 120 men alive in first 5 days so that food consumed in 5 days
    = food required for each person per day×number of days×number of person
    120 men alive in first 5 days so that food consumed in 5 days =x×5×120
    120 men alive in first 5 days so that food consumed in 5 days=600x
    Food left over after five days equals total food available minus total food consumed.
                                       =24000x-600x
                                       =23400x
    As, 30 people died after 5 days, remaining people =120-30=90
    Food required for 90 people for 1 day =90x
    Number of days food can be consumed for 90 people =food leftfood consumption per day
                                                                                          =23400x90x
                                                                                          =260 days
    Remaining food will last for another 260 days.
    Hence, the correct answer is option (3).
     Syllabus: CBSE
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