Aptitude - Chain Rule - Discussion

If 150 men have food for 45 days then after 10 days they have food for only 35 days left. That is what is given. So the problem now is:
150 men food for 35 days, 125 men food for how much? 150/125 = 6/5 so 6/5 x 35 = 42 days.

Why it is given?

After 10 days : 150 men had food for 35 days.

@Manisha.

Don't be confused question mean in 1 day 150 men eat a food. So in 45 days total food they eat are 45*150 = 6750.

Okay now in 10 days 150 men eat food = 1500 okay now remaining food = 5250 which will be eaten by 125 men in how much days then answer are 5250/125 = 42 days.

Good explanations. Thank you all.

Thank you for the best explanations @Vikash & @Nitish.

Very good explanations. Thank you all.

Very good explanations. Thank you all.

The question is based on proportion.
If a and b are in direct proportion ,
a = k x b, where k is constant of proportionality.
a/b =k ,

If a and b are in inverse proportion,

a =K/b

a x b = k.

Now in our given question.

150 men, .food available for 45 days.
After 10 days,
For 150 men food available for 35 days.

More no.of men less no of Days

The relation is inverse.

Therefore, 150 x 35= constant.

Now 25 left.

Men are 125, no. Of days = x.

125 * X = constant (* means multiplication).

150 x 35 = 125*X
150 X 35
---------------- =X
125

X= 42.

NO. OF DAYS THE REMAINING FOOD WILL LAST FOR 125 men is 42.

Vikas, simply well explained. Thanks.

Nice explanation @Sukumar.