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 4 of 9.
Manisha said:
1 decade ago
I can't understand to this example please can you explain how to solve this example?
NITISH GULERIA said:
1 decade ago
@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.
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.
Jagan said:
9 years ago
@Vikas.
Your explanation clear and easy to understand. Thank you.
Your explanation clear and easy to understand. Thank you.
Pooja said:
9 years ago
Wow! Great explanation @Vikas.
Rohit said:
9 years ago
Nice explanation @Sukumar.
Giri said:
9 years ago
Vikas, simply well explained. Thanks.
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.
Shreya said:
9 years ago
Very good explanations. Thank you all.
Shreya said:
9 years ago
Very good explanations. Thank you all.
Ravi said:
9 years ago
Thank you for the best explanations @Vikash & @Nitish.
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