Aptitude - Chain Rule - Discussion
Discussion Forum : Chain Rule - General Questions (Q.No. 4)
4.
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Answer: Option
Explanation:
After 10 days : 150 men had food for 35 days.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
125 : 150 :: 35 : x 
125 x x = 150 x 35
 x = |
150 x 35 |
| 125 |
x = 42.
Discussion:
82 comments Page 5 of 9.
Liza Bhattarai said:
8 years ago
Hi please solve my question.
In a hostel, 150 students have provision for 45 days. For how many days will provision last for 125 students?
In a hostel, 150 students have provision for 45 days. For how many days will provision last for 125 students?
MA Haque said:
8 years ago
Good explanations. Thank you all.
Ravi said:
9 years ago
Thank you for the best explanations @Vikash & @Nitish.
Shreya said:
9 years ago
Very good explanations. Thank you all.
Shreya said:
9 years ago
Very good explanations. Thank you all.
Hemant said:
9 years ago
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.
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.
Giri said:
9 years ago
Vikas, simply well explained. Thanks.
Rohit said:
9 years ago
Nice explanation @Sukumar.
Pooja said:
9 years ago
Wow! Great explanation @Vikas.
Jagan said:
9 years ago
@Vikas.
Your explanation clear and easy to understand. Thank you.
Your explanation clear and easy to understand. Thank you.
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