Question

A fort has food for 50 days if 500 persons after 10 days and if the remaining meal is sufficient for 35 days then how many people were in the beginning of the fort.

Answer 1

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Let the number of Men initially in the fort be: M Amount of provisions initially be: P After 10 days, (10/50)*100 % of the provisions is gone : 20% is gone
This leaves 80% of the provisions M men consume 80% of P in (50-10) days = 40 days ...
(i) (M+500) men consume 80% of P in 35 days...
(ii) Therefore; from (i), 1 man will consume 80% of P in 40M days. while from (iii), 1 man will consume 80% of P in 35(M + 500)days :. 40M = 35(M + 500)

Solve for M 40M = 35M + 1750 40M - 35M = 17500 5M = 17500 M = 3500 ans any other? method! is this correct?

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