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:
29 1
5
37 1
4
42
54
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 2 of 9.

SHUBHaM SaKHaRE said:   8 years ago
Let the required number of days be 'x'.
150*45=(150*10)+(125*x),
Hence, x=42.

Chhotu said:   8 years ago
Thanks @Vikash.

Manish said:   8 years ago
25 persons food remain for next 35 days.
125 person can eat the above food fro next 7 days.

ie 25*35/125=7.
so 35 days + 7 days=42 days.

Anshika said:   8 years ago
Let the total food be x.

150 men ate x food for 45 days i.e. 150 men ate x food for first 10 days and rest 35 days

But when 25 men left after 10 days the food left was only what 150 men would eat for the rest 35 days as mentioned above.

Hence 125 men only had food that 150 men would have eaten for rest 35 days.

Thus,
150:125= days:35 ( inversely proportionate)
Days = 150*35/125=42.

Anshika said:   8 years ago
@Sameenamhd.

Your question is an inversely proportionate one without any condition.

If 9 people eat for 26 days.
Then 13(9+4) will eat for x.
9:13=x:26 then x=18 days.

Mugdha said:   8 years ago
My que is that if x men consume x kg of food in x days, then why men will consume why kg of food in ? how many days?

Sameenamhd said:   8 years ago
If 9 mens are at work and they food for only 26days. If 4 people are joining the work then in how many days the food will complete? Can anyone answer this?

Divya G said:   8 years ago
Can anyone help me to give clear answer for this?

Niranjana said:   8 years ago
@Vikas.

Could you explain this sum for me, please. In a fort, there was sufficient food for 24 weeks for 200 soldiers. 80 more soldiers join the group at the end of one week and quantity of food served to each soldier was reduced from 900 gm to 750 gm. For how many days the rest food would last now?

Manisha sinha said:   8 years ago
@Pushpak.

The answer is 1430.


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