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
![]() |
150 x 35 |
125 |
x = 42.
Discussion:
82 comments Page 2 of 9.
Durga said:
1 decade ago
There are 150 men and they have food for 45 days.
So available food = 150*45 = 6750.
After 10 days 25 men left.
So food consumed for 10 days 150*10 = 1500.
Now avail food = 6750-1500 = 5250.
Avail food = 5250 and there are 125 men.
So this food avail for = 5250/125 = 42 days.
So available food = 150*45 = 6750.
After 10 days 25 men left.
So food consumed for 10 days 150*10 = 1500.
Now avail food = 6750-1500 = 5250.
Avail food = 5250 and there are 125 men.
So this food avail for = 5250/125 = 42 days.
Sushil said:
3 years ago
Case first;
150 mens, 45days.
Food quantity=150*45=6750 units.
After 10days Food quantity was reduced,
=> 150*10 = 1500 unit.
Balance quantity,
6750-1500=5150 Unit.
Case second:
125 men, assume - z days, Balance quantity-
5150 Unit.
Days-Z=5150/125=42.
150 mens, 45days.
Food quantity=150*45=6750 units.
After 10days Food quantity was reduced,
=> 150*10 = 1500 unit.
Balance quantity,
6750-1500=5150 Unit.
Case second:
125 men, assume - z days, Balance quantity-
5150 Unit.
Days-Z=5150/125=42.
(63)
Kalyani said:
1 decade ago
Thank you @Vikas.
In the first way mentioned example. Why they are considering 150 men food for 35 days. I mean, for only 10 days 150 men will have food. So after that only, remaining 125 men will have food for 35 days na. Clarify my doubt.
In the first way mentioned example. Why they are considering 150 men food for 35 days. I mean, for only 10 days 150 men will have food. So after that only, remaining 125 men will have food for 35 days na. Clarify my doubt.
Rahul said:
1 decade ago
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.
150 men food for 35 days, 125 men food for how much? 150/125 = 6/5 so 6/5 x 35 = 42 days.
Nikhil said:
4 years ago
Food for 25 men for 35 would be left which could be consumed by other 125 (this would be devided or distributed in these people) so the equation becomes,
=> 25*35/125.
=7.
So total day the food lasts long =35+7=42.
=> 25*35/125.
=7.
So total day the food lasts long =35+7=42.
Yogendra said:
1 decade ago
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
Sabyasachi samal said:
1 decade ago
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.
so put 125/250 so first put the less number of people then the more number of people.
Harish said:
6 years ago
@Aryan.
A ship has food provision for 300 people for 30 days. If 200 more people join the ship, how long will the provisional last?
For 100 people 90 days.
For 500 people 90/5=18 days.
A ship has food provision for 300 people for 30 days. If 200 more people join the ship, how long will the provisional last?
For 100 people 90 days.
For 500 people 90/5=18 days.
PUSPAK said:
8 years ago
In a camp of 2200 men their stock of food for 50 days. Some men came after 17 days and remaining food lasted for 20 days more. How many men came after 17 days?
Please solve this.
Please solve this.
Lokesh Soni said:
6 years ago
150 men have food for 45 days.
150 x 45 = 6765.
After 10 days the food we have 45-10=35
35x150 = 5250.
Men left after 10 days = 25 means we have 125 men
6765-5250/125 = 48.
150 x 45 = 6765.
After 10 days the food we have 45-10=35
35x150 = 5250.
Men left after 10 days = 25 means we have 125 men
6765-5250/125 = 48.
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