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 2 of 9.
Miwa said:
5 years ago
25 men left after 10 days.
So, let's assume we save their food for the next 35 days and keep that food aside.
That should be equal to 25 * 35 = 875.
After 45 days we bring that food out.
Now, there are 125 men left in the fort.
So, 125 men will be consuming (food that was not consumed)25 * 5 times the food.
For the each day i.e 875 ÷ 125 = 7.
Hence now total days = 35 + 7 = 42.
So, let's assume we save their food for the next 35 days and keep that food aside.
That should be equal to 25 * 35 = 875.
After 45 days we bring that food out.
Now, there are 125 men left in the fort.
So, 125 men will be consuming (food that was not consumed)25 * 5 times the food.
For the each day i.e 875 ÷ 125 = 7.
Hence now total days = 35 + 7 = 42.
Durga k said:
5 years ago
@Rahul.
Thanks for the explanation.
Thanks for the explanation.
Akash said:
5 years ago
Thanks for explaining @Vikas.
Vineetha said:
6 years ago
Thanks @Vikas.
GAURAV said:
6 years ago
Not Rahul, Vikas has a good explanation.
Paawan said:
6 years ago
12 workers earn 2128 rs but wrking 7 hours per day for 10 days. 18 workers can earb how much amount by working for 15 days 5 hrs per day?
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.
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.
Harish said:
6 years ago
If men decrease then no of days food last will increases for eg: men is halved then days will be doubled.
Similarly, 125 is 5/6th of 150.
So 6/5th of 35 is 42 days.
Similarly, 125 is 5/6th of 150.
So 6/5th of 35 is 42 days.
B.saimanasa said:
7 years ago
Why can't the equation be 125 * 150 = 45 * x?
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