Question

In an army camp ration available for 100 soldier for 10 days after 2 days 60 soldier joined than for how many days ration will last

Answer 1

Total Soldiers 100
the ration will last for 10 days..

After 2 day
the ration for 100 soldiers will last for 8 days..

now another 60 soldiers added...

by equalization method we can compare and derive the answer.

∵ 100*8 / 160
Answer would be 5.

So the food will last for 5 days..

Answer 2

Answer:

The ration will last for 5 days.

Step-by-step explanation:

Given : In an army camp ration available for 100 soldier for 10 days after 2 days 60 soldier joined.

To find : How many days ration will last?

Solution :

Let soldier eats 'x' units of food in a day.  

Total ration available for 100 soldiers for 10 days.

i.e. $100\times 10\times x=1000x$

In 2 days, 100 soldiers would consume $100x\times 2 = 200x$

Remaining food is $1000x - 200x = 800x$

Number of soldiers = 100 + 60 = 160

Amount of food these soldiers will eat in a day is 160x.  

Number of days the food will last is $\frac{800}{160}=5$

Therefore, The ration will last for 5 days.