Question

In an NCC camp of 300 cadets, there was enough food
for 22 days. But as some more cadets joined on the very
first day of camp, the food was exhausted in 20 days
only. The number of cadets who joined later is :​

Answer 1

Answer:

Let the total food provision be x.

So, as we know that when there were 300 cadets then the food lasted for 42 days.

So, food consumed by all 300 cadets in one day will be = x42

And the food consumed by each cadet in one day will be =X/42And the food consumed by each cadet in one day will be = Total food consumed in a dayTotal number of cadets=x/42300=x/12600

Now when 50 more persons joined the camp then the total food consumed in a day will be = total food consumed in a day by 300 cadets + 50*(food consumed by each person in a day) = x42+(50×x12600)=x42+x252=x36

50 more persons joined the camp then the food consumed by all the persons in a day = x36

Now as we have assumed above that the total food provision is x.

So, number of days after which food last will be = Total food provision availableFood consumed in one day=xx36=36

days.

Hence, after 36 days food provision will end when 50 more persons join the camp.

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