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Aptitude - Chain Rule - Discussion

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"Example is better than precept."
- (Proverb)
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:

[A].
29 1
5
[B].
37 1
4
[C]. 42[D]. 54

Answer: Option A

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.


Suresh Kumar said: (Sat, Aug 21, 2010 02:18:47 AM)    
 
Hi,

I always confused to solve these type of problems. Please help me, how to solve these type of problems in very efficient way.

Vishu said: (Fri, Sep 17, 2010 03:01:25 AM)    
 
Why it is given?

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

Rahul said: (Thu, Oct 28, 2010 03:40:25 AM)    
 
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.

Vikas said: (Mon, Nov 29, 2010 01:58:42 PM)    
 
Hi All,

I was little puzzled the way they have solved the question. I hv been average students so high funda I cant understand. Simple and natural way to do it is as follows:

Total food available=150*45
They all consume food for 10 days, food consumed in 10 days=150*10
Food left after 10 days=150*45-150*10
For how many days 125 people can eat this food=
(150*45-150*10)/125
=42

I hope that was simple to understand

Uttam said: (Sat, Feb 5, 2011 01:13:43 AM)    
 
No. of men =>(1/no of days), that is inversely proportional.

We can write,

m=>1/d

So,

(150/125)=(x/35)

x=42 days.

Hari said: (Mon, Feb 21, 2011 11:12:51 PM)    
 
@Vikas.

Nice way of explanation.

Bandita said: (Fri, Mar 11, 2011 07:41:19 AM)    
 
@ Vikas its excellent.

Lokesh said: (Wed, Mar 16, 2011 03:47:47 PM)    
 
Vikas you are great

Asha said: (Tue, May 17, 2011 06:59:38 AM)    
 
@vikas. Thanks. Good Explanation.

Vishnu said: (Thu, Aug 4, 2011 05:53:56 PM)    
 
@vikas.Good Explanation.thanks alot

Sabyasachi Samal said: (Thu, Aug 18, 2011 09:04:30 AM)    
 
Thanks i get it right now.As indirect proportion we can usethe less no of people more number of days.
so put 125/250 so first put the less number of people then the more number of people.

Neha Garg said: (Mon, Sep 12, 2011 01:26:28 AM)    
 
@Vikas thanks.

Saleh said: (Sat, Oct 29, 2011 04:47:06 PM)    
 
Thanks vikas. But any one help - How find out direct and in direct proportion?

Ajay Kumar said: (Thu, Dec 1, 2011 06:51:59 AM)    
 
Vikas's method is excellent.

Yogendra said: (Tue, Dec 20, 2011 12:00:51 PM)    
 
Hi, saleh in direct proportion we compare ist to last value &in indirect proportion we take last to 1st Ex-less men,more days(indirect prop.) 125:150

Sugan said: (Wed, Dec 28, 2011 06:02:02 PM)    
 
Great rahul your very right.

Sita said: (Sat, Jan 21, 2012 11:50:25 PM)    
 
@vikas

Nice way of explaining.

Nithin said: (Sat, Feb 4, 2012 08:43:12 PM)    
 
@rahul after 10 days 25 men will leave, so how come we can take as 150? we must take it as 125 right!

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