Latest IBM Aptitude Question SOLUTION: A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

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A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

Asked In IBM (12 years ago)

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pratik kumar  (12 years ago)

Let there be 'x' men in the beginning so that after 15 days the food for them is left for 45 days.

After adding 500 men the food lasts for only 40 days.

Now (x+500) men can have the same food for 40 days.

Therefore by equating the amount of food we get,

45 * x = (x + 500) * 40

45x = (x+500) * 40

5x = 20,000

x = 4,000

Therefore there are 4,000 men in the fort.

Is this solution Helpfull? Yes (17) | No (5)  

Peter  (12 years ago)

Let the number of Men initially in the fort be: M

Amount of provisions initially be: P

After 15 days, (15/60)*100 % of the provisions is gone : 25% is gone

This leaves 75% of the provisions



M men consume 75% of P in (60-15) days = 45 days ...(i)

(M+500) men consume 75% of P in 40 days...(ii)

Therefore;

from (i), 1 man will consume 75% of P in 45M days. while

from (ii), 1 man will consume 75% of P in 40(M + 500)days

:. 45M = 40(M + 500)
Solve for M

45M = 40M + 20000

45M - 40M = 20000

5M = 20000

M = 4000 ans

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