Question

20 people can finish 1000kg of food in
5 days. In how many days will 50 people
finish 800 kg of food

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Answer 1

49 persons consume 350 kg of wheat in: 30 days.

So, 1 person consumes 350 kg of wheat in:30*49 days( the intuition is that it will obviously take more time for one person to consume that same amount of wheat than 49 persons altogether).

=>35 persons consume 350 kg of wheat in:30*49/35 days. (same intuition)

=>35 persons consume 1 kg of wheat in:(30*49)/(35*350) days.(Here, think of this that keeping the number of persons constant if the quantity of consumption is reduced then the number of days in which it is consumed should also lessen!)

=>35 persons consume 50 kg of wheat in:(30*49*50)/(35*350) days.( same reason as above).

Now calculating this:(30*49*50)/(35*350)=6.

Hence,in 6 days 35 persons will consume 50 kg of wheat.